AP Calculus ABhardmcq1 pt

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. Using the tangent line approximation: $f(3.1) \approx f(3) + f'(3)(3.1 - 3) = 8 + (-2)(0.1) = 7.8$.

Correct Answer

q3_a

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