More Concerning Functions and Graphing In this session, we continue to learn more about what we can do with functions defined with Maple. We then introduce Maple's graphing capabilities.To begin, we make sure all variables are unassigned by entering 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

Recall that we use the -> (minus greater than) notation to define a function. Suppose we want to enter the function 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. Suppose, by accident, we forget to enter this as function but instead enter this as an expression. QyQ+SSJmRzYiLCYqJEkieEdGJSIiJSIiIiokRigiIiRGKkYq

LCYqJEkieEc2IiIiJSIiIiokRiQiIiRGJw==

Note, since this is an expression, we cannot find f(3) properly. QyQtSSJmRzYiNiMiIiQiIiI=

LCYqJC1JInhHNiI2IyIiJCIiJSIiIiokRiRGKEYq

We could simply fix this by reentering the expression as a function or use the unapply command. The unapply command has the form unapply(expression, variable), were expression is converted to a function of the specified variable. To convert the expression f stored above to function of x, we can enter QyQ+SSJmRzYiLUkodW5hcHBseUdGJTYkRiRJInhHRiUiIiI=

Zio2I0kieEc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCYqJDkkIiIlIiIiKiRGKyIiJEYtRiVGJUYl

Having f now expressed as a function now allows us to easily do many different types of function evaluations. QygtSSJmRzYiNiMiIiQiIiItSSlzaW1wbGlmeUdGJTYjLUYkNiMsJkkieEdGJUYoISIjRihGKC1GKjYjKiYsJi1GJDYjLCZGL0YoSSJoR0YlRihGKC1GJDYjRi8hIiJGKEY4RjtGKA==

IiQzIg==

LCwqJEkieEc2IiIiJSIiIiokRiQiIiQhIigqJEYkIiIjIiM9RiQhIz8iIilGJw==

LDAqJEkieEc2IiIiJCIiJSomRiQiIiNJImhHRiUiIiIiIicqJkYkRitGKkYpRicqJEYqRiZGKyokRiRGKUYmKiZGJEYrRipGK0YmKiRGKkYpRis=

Recall, to unassign f , we can enter QyQ+SSJmRzYiLkYkIiIi

SSJmRzYi

We can used function notation to define other types of operations we are familiar with, which we now demonstrate.

Recall that a function is odd if 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 and even if 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. For example, we can test whether the function 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 is even or odd by entering QyQ+SSJmRzYiZio2I0kieEdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCYqJDkkIiIlIiIiKiRGLiIiI0YwRiVGJUYlRjA=

Zio2I0kieEc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCYqJDkkIiIlIiIiKiRGKyIiI0YtRiVGJUYl

QyYtSSJmRzYiNiMsJEkieEdGJSEiIiIiIi1GJDYjRihGKg==

LCYqJEkieEc2IiIiJSIiIiokRiQiIiNGJw==

LCYqJEkieEc2IiIiJSIiIiokRiQiIiNGJw==

Since f(-x) = f(x), the function is even. Next, we test whether g(x) = sin(x*cos(x)) is even or odd. First define the function g. QyQ+SSJnRzYiZio2I0kieEdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLUkkc2luR0YlNiMqJjkkIiIiLUkkY29zR0YlNiNGMEYxRiVGJUYlRjE=

Zio2I0kieEc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLUkkc2luR0YlNiMqJjkkIiIiLUkkY29zR0YlNiNGLUYuRiVGJUYl

We form g(-x) and g(x) and compare. QyYtSSJnRzYiNiMsJEkieEdGJSEiIiIiIi1GJDYjRihGKg==

LCQtSSRzaW5HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2IyomSSJ4R0YoIiIiLUkkY29zR0YlNiNGK0YsISIi

LUkkc2luRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMqJkkieEdGJyIiIi1JJGNvc0dGJDYjRipGKw==

Hence, g is an odd function.

Maple makes it easy to define the composition of functions. Let 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 and let 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 . We enter these functions and form f(g(x)) and g(f(x)). QyY+SSJmRzYiZio2I0kieEdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLUklc3FydEdGJTYjLCY5JCIiIkYxRjFGJUYlRiVGMT5JImdHRiVmKkYnRiVGKUYlLCgqJEYwIiIjRjFGMCEiJSIiJkYxRiVGJUYlRjE=

Zio2I0kieEc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLUklc3FydEdGJTYjLCY5JCIiIkYuRi5GJUYlRiU=

Zio2I0kieEc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCgqJDkkIiIjIiIiRishIiUiIiZGLUYlRiVGJQ==

Now compute the compositions QyYtSSJmRzYiNiMtSSJnR0YlNiNJInhHRiUiIiItRig2Iy1GJEYpRis=

KiQsKCokSSJ4RzYiIiIjIiIiRiUhIiUiIidGKCNGKEYn

LChJInhHNiIiIiIiIidGJSokLCZGI0YlRiVGJSNGJSIiIyEiJQ==

Maple can be used to calculate the inverse of a function. To demonstrate, suppose we want to find the inverse of the function 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. First, we define the function QyQ+SSJmRzYiZio2I0kieEdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLUkjbG5HRiU2IywmOSQiIiJGMUYxRiVGJUYlRjE=

Zio2I0kieEc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLUkjbG5HRiU2IywmOSQiIiJGLkYuRiVGJUYl

Remember that we need to switch x and y and then solve for y. This means we have to solve the equation LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Jy1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUYjNictRiw2JVEiZkYnRjRGNy1GOzYuUTAmQXBwbHlGdW5jdGlvbjtGJy8lK2ZvcmVncm91bmRHUShbMCwwLDBdRidGPkZARkNGRUZHRklGS0ZNL0ZQUSYwLjBlbUYnL0ZTRmpuLUYjNiYtRjs2LVEiKEYnRj4vRkFGNkZDL0ZGRjZGR0ZJRktGTS9GUFEsMC4xNjY2NjY3ZW1GJy9GU0Zkby1GIzYkLUYsNiVRInlGJ0Y0RjdGPi1GOzYtUSIpRidGPkZhb0ZDRmJvRkdGSUZLRk1GY28vRlNRLDAuMTExMTExMWVtRidGPkYrRj5GK0Y+RitGPg== for x: QyQtSSZzb2x2ZUc2IjYkL0kieEdGJS1JImZHRiU2I0kieUdGJUYsIiIi

LCYtSSRleHBHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2I0kieEdGKCIiIiEiIkYr

Now define the inverse function. QyQ+SSJnRzYiZio2I0kieEdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCYtSSRleHBHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2IzkkIiIiISIiRjRGJUYlRiVGNA==

Zio2I0kieEc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCYtSSRleHBHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2IzkkIiIiISIiRjFGJUYlRiU=

The command that graphs functions in Maple is the plot command. The plot command has the structure plot(expression or function , range , options), where expression or function is the expression or function we want to play, range gives the interval on the x-axis for which the graph will be plotted, and options are specfied parameters that are given to add to the graph in a certain way (more details on this will be given below). To do simple plot of the function LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2KEYrLUYjNictRiw2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi5RMCZBcHBseUZ1bmN0aW9uO0YnLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy9GOlEnbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkcvJSlzdHJldGNoeUdGRy8lKnN5bW1ldHJpY0dGRy8lKGxhcmdlb3BHRkcvJS5tb3ZhYmxlbGltaXRzR0ZHLyUnYWNjZW50R0ZHLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGVi1GIzYmLUY9Ni1RIihGJ0ZDL0ZGRjhGSC9GS0Y4RkxGTkZQRlIvRlVRLDAuMTY2NjY2N2VtRicvRlhGW28tRiM2JC1GLDYlUSJ4RidGNkY5RkMtRj02LVEiKUYnRkNGaG5GSEZpbkZMRk5GUEZSRmpuL0ZYUSwwLjExMTExMTFlbUYnRkNGK0ZDLUY9Ni1RIj1GJ0ZDRkVGSEZKRkxGTkZQRlIvRlVRLDAuMjc3Nzc3OGVtRicvRlhGW3AtRiM2KUYrLUYjNiZGKy1JJW1zdXBHRiQ2JUZfby1JI21uR0YkNiRRIjJGJ0ZDLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0YrRkMtRj02LVEoJm1pbnVzO0YnRkNGRUZIRkpGTEZORlBGUi9GVVEsMC4yMjIyMjIyZW1GJy9GWEZfcS1GIzYmLUZlcDYkUSI0RidGQy1GPTYuUTEmSW52aXNpYmxlVGltZXM7RidGQEZDRkVGSEZKRkxGTkZQRlJGam9GXHBGX29GQy1GPTYtUSIrRidGQ0ZFRkhGSkZMRk5GUEZSRl5xRmBxLUZlcDYkUSIzRidGQ0ZDRitGQ0YrRkM=, we can enter QyQ+SSJmRzYiLCgqJEkieEdGJSIiIyIiIkYoISIlIiIkRipGKg==

LCgqJEkieEc2IiIiIyIiIkYkISIlIiIkRic=

QyQtSSVwbG90RzYiNiRJImZHRiUvSSJ4R0YlOyEiIyIiJiIiIg==

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

In the preceding command, the function in the first parameter was entered as an expression. To plot as a function, we could also enter QyQ+SSJmRzYiZio2I0kieEdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCgqJDkkIiIjIiIiRi4hIiUiIiRGMEYlRiVGJUYw

Zio2I0kieEc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCgqJDkkIiIjIiIiRishIiUiIiRGLUYlRiVGJQ==

QyQtSSVwbG90RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQtSSJmR0YoNiNJInhHRigvRi07ISIjIiImIiIi

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

To graph the function in certain ways, we can add more parameters involving options. Here are a few of the options available. These and other options can be see by specifying ? plot[options]. view( x-range, y-range) lets you select the viewing rectangle, like the windows command on a graphing calculator thickness the thickness of the curve (values can be 1, 2, or 3 - default is 1), useful if curve is barely visible in a printout. color color of the curve. If not specified, a default color is chosen by Maple. title title (specified in quotes) of the graph numpoints selecting a large number will increase the resolution of the graph and take out artificial corners If you click on the graph you'll see some additional icons at the top of the screen, which may help to improve the looks of your graph. For the previous function, we can add some these options and the next command illustrates: QyQtSSVwbG90RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNigtSSJmR0YoNiNJInhHRigvRi07ISIiIiImL0kldmlld0dGKDckOyEiI0YxO0Y2IiInL0kqdGhpY2tuZXNzR0YoIiIkL0kmY29sb3JHRihJJWJsdWVHRigvSSZ0aXRsZUdGKFEsbXl+cGFyYWJvbGFGKCIiIg==

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

In the previous command, we plotted the function 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 with points specfied over the interval x = -1..5. To view the graph, the x axis ranges from -2 to 5 and the y axis ranges from -2 to 6. The thickness option of 3 gives the graph maximum resolution. The color of the graph is specified to be blue with a title of "my parabola". There are a couple of methods available for graphing multiple curves on the same graph. One method encloses the functions to be plotted within brackets separated by commas. To demonstrate, suppose we desire to plot the function 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 in red with a thickness of 2, along with a shift of its graph - shifted up vertically 2 units and 1 unit to the right horizontally, in blue with a thickness of 1. We plot these functions on the inteval [-LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NjA7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1JI21uR0YkNiRRIjNGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYuUTEmSW52aXNpYmxlVGltZXM7RicvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnRjUvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkEvJSlzdHJldGNoeUdGQS8lKnN5bW1ldHJpY0dGQS8lKGxhcmdlb3BHRkEvJS5tb3ZhYmxlbGltaXRzR0ZBLyUnYWNjZW50R0ZBLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGUC1GLDYlUScmIzk2MDtGJy8lJ2l0YWxpY0dGQUY1RjVGK0Y1]. The following commands accomplishes this task. QyQ+SSJmRzYiZio2I0kieEdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLUkkY29zRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiMsJComSSNQaUdGLyIiIjkkRjUjRjUiIiNGJUYlRiVGNQ==

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xC%*!#6$"20[D!GG`&y#!#;-%&COLORG6&%$RGBG$""!!""$""!!""$"#5!""-%*THICKNESSG6#"""-%%VIEWG6$;$!+aEfTJ!"*$"+izxC%*!"*%(DEFAULTG-%+AXESLABELSG6'I"xG6"Q!6"-%%FONTG6%%!G%!G"#5%+HORIZONTALG%+HORIZONTALG-%*AXESSTYLEG6#%'NORMALG-%(SCALINGG6#%.UNCONSTRAINEDG-%%ROOTG6'-%)BOUNDS_XG6#$"#q!""-%)BOUNDS_YG6#$"$?"!""-%-BOUNDS_WIDTHG6#$"%gQ!""-%.BOUNDS_HEIGHTG6#$"%SP!""-%)CHILDRENG6"

In preceding command, you should notice that the functions specified in brackets, their colors, and their thicknesses, are specified correspondedly in the same order. The next example illustrates how a function and its inverse are displayed on common graphs. We first enter the function we want to find the inverse of: QyQ+SSJmRzYiZio2I0kieEdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLUkjbG5HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2IywmOSQiIiJGNEY0RiVGJUYlRjQ=

Zio2I0kieEc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLUkjbG5HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2IywmOSQiIiJGMUYxRiVGJUYl

Using the solve command, we can find the inverse function: QyQ+SSJnRzYiLUkmc29sdmVHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2JC9JInhHRiUtSSJmR0YlNiNJInlHRiVGMSIiIg==

LCYtSSRleHBHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2I0kieEdGKCIiIiEiIkYr

The previous command outputs an expression. To convert this to a function of x, we can use the unapply command QyQ+SSJnRzYiLUkodW5hcHBseUc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYkRiRJInhHRiUiIiI=

Zio2I0kieEc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCYtSSRleHBHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2IzkkIiIiISIiRjFGJUYlRiU=

The next command graphs both the function and inverse on the same graph. QyQtSSVwbG90RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNig3JC1JImZHRig2I0kieEdGKC1JImdHRihGLS9GLjskISNEISIiJCIjREY1L0kldmlld0dGKDckRjJGMi9JJmNvbG9yR0YoNyRJJHJlZEdGKEkmZ3JlZW5HRigvSSp0aGlja25lc3NHRig3JCIiIiIiIy9JJnRpdGxlR0YoUVdHcmFwaH5vZn5mKHgpfj1+bG4oeCsxKX5hbmR+aXRzfmludmVyc2V+Zyh4KX49fmVeeH4tfjFGKEZD

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

Another method for plotting the graph involves storing each separate graph plots as variables and displaying them together. This feature especially convenient when one wants to graph functions over different intervals on the x axis. To demonstrate, suppose we enter the following two functions: QyY+SSJmRzYiZio2I0kieEdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlKiQ5JCIiI0YlRiVGJSIiIj5JImdHRiVmKkYnRiVGKUYlKiRGLSIiJkYlRiVGJUYv

Zio2I0kieEc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlKiQ5JCIiI0YlRiVGJQ==

Zio2I0kieEc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlKiQ5JCIiJkYlRiVGJQ==

The following commands set up and store the plots for these graphs in the variables p1 and p2. NOTE!! An important fact to remember is to end thesecommands with a colon : . If you end the command with a semicolon, all the data points generated to plot the graph will be displayed. QyQ+SSNwMUc2Ii1JJXBsb3RHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2JS1JImZHRiU2I0kieEdGJS9GLzshIiQiIiQvSSZjb2xvckdGJUklYmx1ZUdGJSEiIg== QyQ+SSNwMkc2Ii1JJXBsb3RHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2Ji1JImdHRiU2I0kieEdGJS9GLzskISM3ISIiJCIjN0Y0L0kmY29sb3JHRiVJJmJsYWNrR0YlL0kqdGhpY2tuZXNzR0YlIiIjRjQ= Note the different interval values for x that are specified. To plot the two graphs, we must specify a command in the Maple plots package. The plots package is not available as a standard part of Maple and must be read in. This can be done with the following statement QyQtSSV3aXRoRzYiNiNJJnBsb3RzRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlIiIi

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

The output of the preceding statement gives all the new commands that we now have available to use. The one we need is the display command. To display the plots stored in p1 and p2, we enter QyQtSShkaXNwbGF5RzYiNiU3JEkjcDFHRiVJI3AyR0YlL0kldmlld0dGJTckOyEiJSIiJTshIiYiIzUvSSZ0aXRsZUdGJVFTZih4KX49fnheMn5hbmR+Zyh4KX49fnheNX53aXRofmRpZmZlcmVudH5pbnRlcnZhbHNGJSIiIg==

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

Note in the preceding display command that the same options, such as view and title, can be specified like we did in the plot command

1. Using the unapply command, convert the assignment to a function and compute 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 2. Determine whether the following functions are even, odd, or neither. a. 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 b. 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 c. 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 3. Determine 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 and 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 for the following functions. a. 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 and 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 b. 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 and 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 4. Find the inverse of the following 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. 5. Using the plot command, graph the following functions a. 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 b. 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 6. Using the plot command, plot the following functions on the same graph. Color one function red with a thickness of 2 and the other blue with a thickness of 1. Create a title for your graph. a. 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 and LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2KEYrLUYjNictRiw2JVEiZ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi5RMCZBcHBseUZ1bmN0aW9uO0YnLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy9GOlEnbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkcvJSlzdHJldGNoeUdGRy8lKnN5bW1ldHJpY0dGRy8lKGxhcmdlb3BHRkcvJS5tb3ZhYmxlbGltaXRzR0ZHLyUnYWNjZW50R0ZHLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGVi1GIzYmLUY9Ni1RIihGJ0ZDL0ZGRjhGSC9GS0Y4RkxGTkZQRlIvRlVRLDAuMTY2NjY2N2VtRicvRlhGW28tRiM2JC1GLDYlUSJ4RidGNkY5RkMtRj02LVEiKUYnRkNGaG5GSEZpbkZMRk5GUEZSRmpuL0ZYUSwwLjExMTExMTFlbUYnRkNGK0ZDLUY9Ni1RIj1GJ0ZDRkVGSEZKRkxGTkZQRlIvRlVRLDAuMjc3Nzc3OGVtRicvRlhGW3AtRiM2JkYrLUklbXN1cEdGJDYlRl9vLUkjbW5HRiQ2JFEiM0YnRkMvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRitGQ0YrRkNGK0ZD. b. 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 and 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. c. 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 and the graph resulting from shifting the graph up 3 units and to the right 2 units. d. The graph of 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 and its inverse. 7. By storing your plots and using the display command, plot the graph of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2KEYrLUYjNictRiw2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi5RMCZBcHBseUZ1bmN0aW9uO0YnLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy9GOlEnbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkcvJSlzdHJldGNoeUdGRy8lKnN5bW1ldHJpY0dGRy8lKGxhcmdlb3BHRkcvJS5tb3ZhYmxlbGltaXRzR0ZHLyUnYWNjZW50R0ZHLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGVi1GIzYmLUY9Ni1RIihGJ0ZDL0ZGRjhGSC9GS0Y4RkxGTkZQRlIvRlVRLDAuMTY2NjY2N2VtRicvRlhGW28tRiM2JC1GLDYlUSJ4RidGNkY5RkMtRj02LVEiKUYnRkNGaG5GSEZpbkZMRk5GUEZSRmpuL0ZYUSwwLjExMTExMTFlbUYnRkNGK0ZDLUY9Ni1RIj1GJ0ZDRkVGSEZKRkxGTkZQRlIvRlVRLDAuMjc3Nzc3OGVtRicvRlhGW3AtSSVtc3VwR0YkNiUtRj02LVEiZUYnRkNGRUZIRkpGTEZORlBGUkZURlctRiM2JkZlbi1GIzYmRistRl5wNiVGX28tSSNtbkdGJDYkUSIyRidGQy8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGK0ZDRmJvRkNGXXFGK0ZDRitGQw== on the interval -2 <= x <= 2 and the graph of 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 on the interval 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 <= x <= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1JI21uR0YkNiRRIjJGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYuUTEmSW52aXNpYmxlVGltZXM7RicvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnRjUvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkEvJSlzdHJldGNoeUdGQS8lKnN5bW1ldHJpY0dGQS8lKGxhcmdlb3BHRkEvJS5tb3ZhYmxlbGltaXRzR0ZBLyUnYWNjZW50R0ZBLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGUC1GLDYlUScmIzk2MDtGJy8lJ2l0YWxpY0dGQUY1RjVGK0Y1. JSFH