Let g be differentiable with g(-1) = 2, g'(-1) = -3, and a tangent line approximation of g(-1.024) = 2.65. If the graph of g is concave up at x = -1, what does that mean about the approximation for g(-1.024)? The value of 2.65 is an overestimate because the tangent line falls above g. The value of 2.65 is an underestimate because the tangent line falls above g. The value of 2.65 is an overestimate because the tangent line falls below g. O The value of 2.65 is an underestimate because the tangent line falls below g.

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 g be differentiable with g(-1) = 2, g'(-1) = -3, and a tangent line approximation of g(-1.024) = 2.65. If the graph of g is concave up at x = -1, what does that mean about the
approximation for g(-1.024)?
The value of 2.65 is an overestimate because the tangent line falls above g.
The value of 2.65 is an underestimate because the tangent line falls above g.
The value of 2.65 is an overestimate because the tangent line falls below g.
The value of 2.65 is an underestimate because the tangent line falls below g.
Transcribed Image Text:Let g be differentiable with g(-1) = 2, g'(-1) = -3, and a tangent line approximation of g(-1.024) = 2.65. If the graph of g is concave up at x = -1, what does that mean about the approximation for g(-1.024)? The value of 2.65 is an overestimate because the tangent line falls above g. The value of 2.65 is an underestimate because the tangent line falls above g. The value of 2.65 is an overestimate because the tangent line falls below g. The value of 2.65 is an underestimate because the tangent line falls below g.
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