Defining Functions Using the Fundamental Theorem
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.
Step 1 :
In 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).