a. The table below shows some input-output pairs for an exponential function f. x 0 1 2 3 f(x) 51.2 6.4 0.8 0.1 i. Determine the 1-unit growth factor for f. * Preview ii. Determine the 1-unit percent change for f. = *% Preview iii. Determine the initial value for f (the output value when the input is 0.) f(0) iv. Write a function formula for f. f(x) Preview Preview

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 35E
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a. The table below shows some input-output pairs for an exponential function f.
0 1 2 3
f(x) 51.2 6.4 0.8 0.1
i. Determine the 1-unit growth factor for f.
*
Preview
ii. Determine the 1-unit percent change for f.
=
*% Preview
iii. Determine the initial value for f (the output value when the input is 0.)
f(0)
iv. Write a function formula for f.
f(x) =
*
Preview
X
Preview
Transcribed Image Text:a. The table below shows some input-output pairs for an exponential function f. 0 1 2 3 f(x) 51.2 6.4 0.8 0.1 i. Determine the 1-unit growth factor for f. * Preview ii. Determine the 1-unit percent change for f. = *% Preview iii. Determine the initial value for f (the output value when the input is 0.) f(0) iv. Write a function formula for f. f(x) = * Preview X Preview
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