How do the graphs of the functions f(x)=((3)/(2))^x and g(x)=((2)/(3))^x compare? {Explain your answer.} Show your work! Step-by-Step calculations required. No spam answers, ple…

Question

How do the graphs of the functions f(x)=
`((3)/(2))^x` and g(x)=
`((2)/(3))^x` compare?

{Explain your answer.}


Show your work!


Step-by-Step calculations required.


No spam answers, please!


Thank you!

Answer 1

Explanation:

f(x) = (3/2)ˣ

g(x) = (2/3)ˣ

These are examples of exponential equations:

y = a bˣ

If b > 1, the equation is exponential growth.

If 0 < b < 1, the equation is exponential decay.

So f(x) is an example of exponential growth, and g(x) is an example of exponential decay.

Also, 2/3 is the inverse of 3/2, so:

g(x) = (3/2)^(-x)

So more specifically, f(x) and g(x) are reflections of each other across the y-axis.