A function defined by an integral The graph of a function

Chapter , Problem 29AAE

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QUESTION:

A function defined by an integral The graph of a function ƒ consists of a semicircle and two line segments as shown. Let 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.

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QUESTION:

A function defined by an integral The graph of a function ƒ consists of a semicircle and two line segments as shown. Let 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.

ANSWER:

Solution :Step 1 of 2In this problem, we have to find g(1), g(3), g(-1) and find the equation of tangent line then find the range of g(x).

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