Math 151 practices

1. If the graph of is given below:

1. Compare in increasing order.

2. Find the interval(s) where is positive.

3. Find the interval(s) where is negative.

2. If the graph of (derivative of a function) is given below:

1. Compare in increasing order.

2. Indicate the ' where has relative maxima.

3. Indicate the where has relative minimum.

3. Given the position funtions for two race cars (thin) and (thick) are shown as follows and suppose the graphs of and intersect at Then answer the following questions:

1. Do these two cars start at the same position?

2. Which car starts out faster?

3. Where do these two cars meet?

4. Compare and for

4. Label the graphs for and

5. If the graphs of and are given below: Then

1. identify the graph for and respectively.

2. find the interval(s) where is increasing or decreasing,

3. find the maximum and minimum for in the interval

4. find the interval(s) where is concave upward and concave downward.

6. Find the following limits:

7. Find two functions which are continuous everywhere but are not differentiable everywhere.

8. Use the definition for the derivative function, to find and from the expression

9. Use the definition for the derivative function, to find if