How do the graphs of the functions f(x) = (3/2)^x and g(x) = (2/3)^x compare?
Answers
Given:
f(x) = (3/2)^x and g(x) = (2/3)^x
To find:
How do the graphs of the functions f(x) = (3/2)^x and g(x) = (2/3)^x compare?
Solution:
Consider the attached figure while going through the following steps.
From given, we have 2 different functions with inverted bases.
f(x) = (3/2)^x and g(x) = (2/3)^x
Upon further simplification, we get,
f(x) = (1.5)^x and g(x) = (0.67)^x
we know that the graph of a function with a coefficient value less than 0 results in an exponentially decaying function, whereas, the graph of a function with a coefficient value less than 0 results in an exponentially increasing function.
Answer:
Sample Response: The graphs are reflections of each other over the y-axis. The graph of g(x) shows exponential decay, while the graph of f(x) shows exponential growth.
Explanation:
It is on Edge2021, Bet this helps.