The exponential functions f(x) and h(x) are given by the tables shown below. Use the data values in the table to determine the behavior, initial value, and common ratio for each function. Then write the formula for each exponential function.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Question
Writing Exponential Functions Given Data
The exponential functions f(x) and h(1) are given by the tables shown below. Use the data
values in the table to determine the behavior, initial value, and common ratio for each
function. Then write the formula for each exponential function.
f(x) is Decreasing
Initial Value:
x f(x)
0
130
1
117
2
105.3
3 94.77
I
0
1
2
3
h(x)
170
187
205.7
226.27
Common Ratio:
Formula: f(1)
h(x) is Increasing
Initial Value:
Common Ratio:
Formula: h(™)
or
Transcribed Image Text:Writing Exponential Functions Given Data The exponential functions f(x) and h(1) are given by the tables shown below. Use the data values in the table to determine the behavior, initial value, and common ratio for each function. Then write the formula for each exponential function. f(x) is Decreasing Initial Value: x f(x) 0 130 1 117 2 105.3 3 94.77 I 0 1 2 3 h(x) 170 187 205.7 226.27 Common Ratio: Formula: f(1) h(x) is Increasing Initial Value: Common Ratio: Formula: h(™) or
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