Math 121 take home
The slope of the tangent line for a function at is defined to be
If use and respectively to approximate
If use and respectively to approximate
Find a profit function satisfies the following conditions, where denotes number of units are produced and is a polynomial function: (a) the company breaks even at and units (b) the profit function changes signs (from to or vise versa) at but does not change sign at and (c) the company is NOT profitable when units are produced.
Sketch the function above.
Let
Sketch
Find the function so that the graph of is being shifted to the left units and down units from
Find the inverse function for and graph the inverse function together with
Let
be the function graphed below:
Does have an inverse in the domain of Explain.
If we restrict the domain of to be does exist? Explain.
If and find and
If If
Sketch the graph of
Find
Find
If
Sketch the graph of
Find
Find