To graph: the function with the given description and compare the function to
Answer to Problem 43E
g(x) > f(x) from x =0 to x = 2.
Explanation of Solution
Given information: An exponential function g models a relationship in which the
dependent variable is multiplied by 2.5 for every 1 unit the independent variable x increases. The value of the function at 0 is 8
Calculation:
Since (0, 8) is in the graph of g. To find points to the right of (0, 8), multiply g(x) by 2.5 for every 1 unit increase in x .To find points to the left of (0, 8), divide g(x) by 2.5 for every 1 unit decrease in x .
Step 1: Make table of values
x | -1 | 0 | 1 |
g(x) | 3.2 | 8 | 20 |
Step 2: Plot the ordered pairs.
Step 3: Draw a smooth curve through the points.
g(x) > f(x) from x =0 to x = 2.
Chapter 6 Solutions
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