July 9, 2013
1. Find the critical numbers of the following functions:
So the critical numbers for f are 5 and -1.
So the critical numbers for g are 0, 6, and -2
In class I solved this by expanding h(x) first. Here is the solution via the product rule:
So the critical numbers are when x=2/5 (h’(x)=0 there) and when x=0 (h’(x) dne there)
2) Use your graphing calculator to help you determine whether each critical point you found above is a relative maximum, relative minimum, or neither:
Use your calculator to check!
3) Find the absolute maximum and absolute minimum values of the functions from #1 on the interval [-10,10]
For each function, check the value of the function at the endpoints of the interval
(-10 and 10) as well as at the critical points found above. The greatest function value
b) g(x): that you found will be the absolute maximum on this interval, and the smallest value
will be the absolute minimum.