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ppose that the only information we have about a function fis that f(1) = -7 and the graph of its derivative is as shown. y = f'(x) 0 1 (a) Use a linear approximation to estimate f(0.99) and f(1.01),

ppose that the only information we have about a function fis that f(1) = -7 and the graph of its derivative is as shown. y = f'(x) 0 1 (a) Use a linear approximation to estimate f(0.99) and f(1.01),

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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Y NOTES ASK YOUR TEACHER Suppose that the only information we have about a function fis that f(1) = -7 and the graph of its derivative is as shown. y = f'(x) 0 (a) Use a linear approximation to estimate f(0.99) and f(1.01). f(0.99) f(1.01) Enter a number. (b) Are your estimates in part (a) too large or too small? Explain. The slopes of the tangent lines are negative, but the tangents are becoming steeper. So the tangent lines lie below the curve f. Thus, the estimates are too small. The slopes of the tangent lines are positive, but the tangents are becoming less steep. So the tangent lines lie above the curve f. Thus, the estimates are too large. O The slopes of the tangent lines are positive, but the tangents are becoming less steep. So the tangent lines lie above the curve f. Thus, the estimates are too small. O The slopes of the tangent lines are negative, but the tangents are becoming steeper. So the tangent lines lie below the curve f. Thus/ the estimates are too large. Submit Answer E 3.10 Linearization - linear approximatio... Watch It Player | Ce.... F1 F3 F4 F5 www Tab N Esc 1 Q C @ 2 F2 W #m 3 E $ 4 R % сторо 5 IT < 6 F6 & 7 F7 * * 8 hp FB 9
Transcribed Image Text:Y NOTES ASK YOUR TEACHER Suppose that the only information we have about a function fis that f(1) = -7 and the graph of its derivative is as shown. y = f'(x) 0 (a) Use a linear approximation to estimate f(0.99) and f(1.01). f(0.99) f(1.01) Enter a number. (b) Are your estimates in part (a) too large or too small? Explain. The slopes of the tangent lines are negative, but the tangents are becoming steeper. So the tangent lines lie below the curve f. Thus, the estimates are too small. The slopes of the tangent lines are positive, but the tangents are becoming less steep. So the tangent lines lie above the curve f. Thus, the estimates are too large. O The slopes of the tangent lines are positive, but the tangents are becoming less steep. So the tangent lines lie above the curve f. Thus, the estimates are too small. O The slopes of the tangent lines are negative, but the tangents are becoming steeper. So the tangent lines lie below the curve f. Thus/ the estimates are too large. Submit Answer E 3.10 Linearization - linear approximatio... Watch It Player | Ce.... F1 F3 F4 F5 www Tab N Esc 1 Q C @ 2 F2 W #m 3 E $ 4 R % сторо 5 IT < 6 F6 & 7 F7 * * 8 hp FB 9
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