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 form

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

Step2: Match to given function

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

Answer:

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