Let f(x) = x. (a) Estimate the values of f '(0), f(=), F '(2), f '(3), and f '(4) by using a graphing device to zoom in on the graph of f. (Round your answers to one decimal place.) f '(0) %3D F -I f f'(2) f'(3) %3D f'(4) %3D (b) Use symmetry to deduce the values of f), F (-2), f(-3), and f '(-4). (Round your answers to one decimal place.) f(글) -1 f'(-2) %3D F(-3) F(-4) (c) Use the values from parts (a) and (b) to graph f'. f (X) f '(x) 2 X -4 -2 4 -4 -2 2 4 2 -2 -4 -4 f ((x) f '(X) -4 -2 2 -2 2 4 -2 -4 (d) Guess a formula for f (x). O F (x) = 3x + 2 O F (x) = 3x O F (x) = 3x O f (x) = 4 I| ||

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter58: Achievement Review—section Five
Section: Chapter Questions
Problem 30AR: Determine dimension x to 3 decimal places.
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Let f(x) = x.
(a) Estimate the values of f (0), fE), F'(2), F '(3), and f '(4) by using a graphing device to zoom in on the graph of f. (Round your answers to one decimal place.)
f'(0)
F -I
=
f'(2)
f '(3)
f '(4)
(b) Use symmetry to deduce the values of f), F(-2), F (-3), and f (-4). (Round your answers to one decimal place.)
f(글) -1
f'(-2)
%3D
f'(-3)
f'(-4)
(c) Use the values from parts (a) and (b) to graph f'.
f (X)
f '(X)
2
x
-4
-2
4
-4
-2
2
2
-2
-4
-4
f (x)
f '(X)
-2
-2
2
4
-2
-4
(d) Guess a formula for f '(x).
O F (x) = 3x + 2
O f (x) = 3x
O F (x) = 3x
O f (x) =
I| ||
Transcribed Image Text:Let f(x) = x. (a) Estimate the values of f (0), fE), F'(2), F '(3), and f '(4) by using a graphing device to zoom in on the graph of f. (Round your answers to one decimal place.) f'(0) F -I = f'(2) f '(3) f '(4) (b) Use symmetry to deduce the values of f), F(-2), F (-3), and f (-4). (Round your answers to one decimal place.) f(글) -1 f'(-2) %3D f'(-3) f'(-4) (c) Use the values from parts (a) and (b) to graph f'. f (X) f '(X) 2 x -4 -2 4 -4 -2 2 2 -2 -4 -4 f (x) f '(X) -2 -2 2 4 -2 -4 (d) Guess a formula for f '(x). O F (x) = 3x + 2 O f (x) = 3x O F (x) = 3x O f (x) = I| ||
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ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,