Question

identify key features of an exponential function.

1. identify the key features of the exponential function below.

$y = 20(1.01)^x$
$a = $
$b = $
growth or decay?
:: growth
:: decay
:: 1.01
:: 20

Explanation:

Step1: Identify initial value $a$

In the standard exponential form $y=a(b)^x$, $a$ is the coefficient.
$a = 20$

Step2: Identify base $b$

In the standard exponential form $y=a(b)^x$, $b$ is the growth/decay factor.
$b = 1.01$

Step3: Classify growth/decay

If $b>1$, it is exponential growth.
Since $1.01>1$, this is growth.

Answer:

$a = 20$
$b = 1.01$
Growth