Let ƒ(x) be a differentiable function such that f(3) = 5 andf'(3) = –0.6. Use Tangent Line (or Local Linear) Approximation to estimate f(2.8). O 5.06 O 5.12 O 4.88 O Answer not listed O 4.96 O 4.92

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Let \( f(x) \) be a differentiable function such that \( f(3) = 5 \) and \( f'(3) = -0.6 \). Use Tangent Line (or Local Linear) Approximation to estimate \( f(2.8) \).

- ⭘ 5.06
- ⭘ 5.12
- ⭘ 4.88
- ⭘ Answer not listed
- ⭘ 4.96
- ⭘ 4.92

This problem involves estimating the value of a function at a point using the tangent line, which is a linear approximation based on the function's value and derivative at a given point.
Transcribed Image Text:Let \( f(x) \) be a differentiable function such that \( f(3) = 5 \) and \( f'(3) = -0.6 \). Use Tangent Line (or Local Linear) Approximation to estimate \( f(2.8) \). - ⭘ 5.06 - ⭘ 5.12 - ⭘ 4.88 - ⭘ Answer not listed - ⭘ 4.96 - ⭘ 4.92 This problem involves estimating the value of a function at a point using the tangent line, which is a linear approximation based on the function's value and derivative at a given point.
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