For given problem,  2a.) given f'(x) find all critical points  2b.) draw a sign graph and state intervals where graph is increasing or decreasing 2d.) state the local max and min points (if any), x values only

4) The cost of making x items is C(x)=15+2x. The cost p per item and the number made x are related by the equation p+x=25. Profit is then represented by px-C(x) [revenue minus cost].   a) Find profit as a function of x b) Find x that makes profit as large as possible c) Find p that makes profit maximum.

2. If f(2) = e*, describe the images under f(z) of horizontal and vertical lines, i.e. what are the sets f(a + it) and f(t + ib), where a and b are constants and t runs through all real numbers?

14. Given the following graph of the function y= f(x), construct the graph of the function y= f"(x). (0,2), (1,3), (2,5), (3,9), (-1,1.5) -8 7- -5 -3 -9 -8 -7 -6 -5 -4 -3 -2 2 6 -2 Solution: https://youtu.be/plmnlQ2nb3g PRESS