Question

identify key features of an exponential function.

1. identify the key features of the exponential

function below.
( y = 0.99^x )
( a = )
( b = )
growth or decay?
growth decay 1 0.99

Explanation:

Step1: Identify initial value $a$

The standard exponential form is $y = ab^x$. When $x=0$, $y=a$. For $y=0.99^x$, this is equivalent to $y=1 \times 0.99^x$, so $a=1$.

Step2: Identify base $b$

From $y=1 \times 0.99^x$, the base $b$ is 0.99.

Step3: Classify growth/decay

If $0 < b < 1$, it is decay. Since $0 < 0.99 < 1$, it is decay.

Answer:

$a = 1$
$b = 0.99$
Growth or Decay? Decay