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?Suppose that the only information we have about a function \(f\) is that \(f(1) = 5\)
Chapter 3, Problem 51(choose chapter or problem)
Suppose that the only information we have about a function \(f\) is that \(f(1) = 5\) and the graph of its derivative is as shown.
(a) Use a linear approximation to estimate \(f(0.9)\) and \(f(1.1)\).
(b) Are your estimates in part (a) too large or too small? Explain.
Equation Transcription:
Text Transcription:
f
f(1)=5
f(0.9)
f(1.1)
Questions & Answers
QUESTION:
Suppose that the only information we have about a function \(f\) is that \(f(1) = 5\) and the graph of its derivative is as shown.
(a) Use a linear approximation to estimate \(f(0.9)\) and \(f(1.1)\).
(b) Are your estimates in part (a) too large or too small? Explain.
Equation Transcription:
Text Transcription:
f
f(1)=5
f(0.9)
f(1.1)
ANSWER:
Step 1 of 3
a) Here, we need to use a linear approximation to estimate and
.