2. A function fis graphed below, which consists of two semicircles and two linear pieces.
9(x) /(t)at
Leto be the function
on the interval [4,5).
a) Find the x-value of any relative
minimums of g(x) & explain.
b) Find the absolute maximum of six).
c) Write an equation of the line tangent to g(x) at x = 2. Show your work.
d) Find the x-coordinate of any points of inflection of g(x) & explain your answer.
e) For what x intervals is g concave up? Explain your answer.
1) What is the average value of f on (-4,5]? Show your work.