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The graph of the function fand a table of selected values of f(x) are shown at the right. The graph off has a maximum at x = 4, is concave down for 0 < x < 6, and is linear for x ≥ 6. a. Approximate the value of f'(5.5) using the data from the table. Show the computations that lead to your answer. b. Is there a value of x, for 0 < x < 6, such that f(x+h)-f(x) = 0? Justify your answer. h lim h→0 4- 3- 2+ 1+ C 1 2 3 4 5 Graph of f 4 2 4.5 5 5.5 f(x) 3.654 3.600 3.455 3.244 6 6 1 7 8 6.5 7 0.75 0.5

The graph of the function fand a table of selected values of f(x) are shown at the right. The graph off has a maximum at x = 4, is concave down for 0 < x < 6, and is linear for x ≥ 6. a. Approximate the value of f'(5.5) using the data from the table. Show the computations that lead to your answer. b. Is there a value of x, for 0 < x < 6, such that f(x+h)-f(x) = 0? Justify your answer. h lim h→0 4- 3- 2+ 1+ C 1 2 3 4 5 Graph of f 4 2 4.5 5 5.5 f(x) 3.654 3.600 3.455 3.244 6 6 1 7 8 6.5 7 0.75 0.5

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 51E
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The graph of the function fand a table of selected values of f(x) are shown at the right. The graph of fhas a maximum at x = 4, is concave down for 0 < x < 6, and is linear for x ≥ 6. a. Approximate the value of f'(5.5) using the data from the table. Show the computations that lead to your answer. b. Is there a value of x, for 0 < x < 6, such that f(x+h)-f(x) = 0? Justify your answer. h lim h→0 4- 3- 2- 1. 1 2 2 3 4 5 Graph of f 5 4.5 5.5 f(x) 3.654 3.600 3.455 3.244 6 6 1 7 6.5 0.75 8 7 0.5
Transcribed Image Text:The graph of the function fand a table of selected values of f(x) are shown at the right. The graph of fhas a maximum at x = 4, is concave down for 0 < x < 6, and is linear for x ≥ 6. a. Approximate the value of f'(5.5) using the data from the table. Show the computations that lead to your answer. b. Is there a value of x, for 0 < x < 6, such that f(x+h)-f(x) = 0? Justify your answer. h lim h→0 4- 3- 2- 1. 1 2 2 3 4 5 Graph of f 5 4.5 5.5 f(x) 3.654 3.600 3.455 3.244 6 6 1 7 6.5 0.75 8 7 0.5
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