1. Suppose that f is a differentiable function and f'(x) ≤ 4 on interval [-5, 2]. If f(2)= 6, then what is the smallest possible value that f(-5) could be? HINT: The mean value theorem.

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1. Suppose that f is a differentiable function and f'(x) ≤ 4 on interval [-5, 2]. If f(2)= 6, then what is
the smallest possible value that f(-5) could be? HINT: The mean value theorem.
Transcribed Image Text:1. Suppose that f is a differentiable function and f'(x) ≤ 4 on interval [-5, 2]. If f(2)= 6, then what is the smallest possible value that f(-5) could be? HINT: The mean value theorem.
Expert Solution
Step 1: Define the problem.

Suppose that f is a differentiable function and straight f apostrophe open parentheses straight x close parentheses less or equal than 4 on interval open square brackets negative 5 comma space 2 close square brackets.

If straight f open parentheses 2 close parentheses equals 6, then to determine the smallest possible value of straight f open parentheses negative 5 close parentheses.

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