Question

Which of the following statements is true for the function f(x) = x3+x2-3x-1? Select one: a....

Which of the following statements is true for the function f(x) = x3+x2-3x-1?

Select one:

a. The first-order, forward-looking method overestimates the value of the derivative at x = -1.0 because the function is convex at that location.

b. The first-order, forward-looking method underestimates the value of the derivative at x = -1.0 because the function is concave up at that location.

c. The first-order, forward-looking method overestimates the value of the derivative at x = -1.0 because the function is concave up at that location.

d. The first-order, forward-looking method underestimates the value of the derivative at x = -1.0 because the function is convex at that location.

NOTE: OPTION B IS INCORRECT.

NOTE: OPTION A IS INCORRECT

Math   Advanced-Math   
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Homework Answers

Answer #1

As -1 lies in above interval it is convex at that location.

As OPTION A IS INCORRECT Then

Answer is D

The first-order, forward-looking method underestimates the value of the derivative at x = -1.0 because the function is convex at that location.

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