Question

an exponential function is shown.
( y = 5(2.5)^x )
what are the growth factor and initial value of the function?
enter your answers in the boxes.
growth factor:
initial value:

Explanation:

Step1: Recall exponential growth form

The standard exponential growth function is $y = a(b)^x$, where $a$ is the initial value, and $b$ is the growth factor ($b>1$).

Step2: Match given function to standard form

For $y = 5(2.5)^x$, compare to $y = a(b)^x$. Identify $a=5$ and $b=2.5$.

Answer:

Growth factor: $2.5$
Initial value: $5$