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What is the absolute maximum value of the function f (x) = −x2 + 3x − 2 on the interval[1, 3]?A. 0B. 14C. −14D. −2E. 2

Question

What is the absolute maximum value of the function f (x) = −x2 + 3x − 2 on the interval[1, 3]?A. 0B. 14C. −14D. −2E. 2
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Solution 1

To find the absolute maximum value of the function f(x) = -x^2 + 3x - 2 on the interval [1, 3], we need to follow these steps:

  1. Find the derivative of the function, f'(x) = -2x + 3.

  2. Set the derivative equal to zero and solve for x to find critical points, -2x + 3 = 0. Solving for x gives x = Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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