Question: The graph of a function consists of a semicircle and two line segments as shown. Let a. Find g(1). b. Find g(3). c. Find

The graph of a function ƒ consists of a semicircle and two line segments as shown. Letg(x) = f(t) dt. fi y = f(x) -3 - 1 3



a. Find g(1). 


b. Find g(3). 


c. Find g(-1).


d. Find all values of x on the open interval (-3, 4) at which g has a relative maximum.


e. Write an equation for the line tangent to the graph of g at x = -1.


f. Find the x-coordinate of each point of inflection of the graph of g on the open interval (-3, 4).


g. Find the range of g.

g(x) = f(t) dt. fi y = f(x) -3 - 1 3 - - I I Axx 3

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