Let $f$ be a differentiable function such that $f(3) = 8$ and $f'(3) = -2$. Which of the following is the best approximation of $f(3.1)$ using local linearity?

Question

Accepted Answer

A. $7.8$

Answer

$7.8$

Answer

$8.2$

Answer

$7.0$

Answer

$9.0$

Let $f$ be a differentiable function such that $f(3) = 8$ and $f'(3) = -2$ . Which of the following is the best approximation of $f(3.1)$ using local linearity?

Explanation

Core Concept

Correct Answer

More Unit 4: Contextual Applications of Differentiation practice questions

Let fff be a differentiable function such that f(3)=8f(3) = 8f(3)=8 and f′(3)=−2f'(3) = -2f′(3)=−2. Which of the following is the best approximation of f(3.1)f(3.1)f(3.1) using local linearity?

Explanation

Core Concept

Correct Answer

More Unit 4: Contextual Applications of Differentiation practice questions

Let $f$ be a differentiable function such that $f(3) = 8$ and $f'(3) = -2$ . Which of the following is the best approximation of $f(3.1)$ using local linearity?