Question

warm-up #31 intro to exp fct
possible points: 2
identify key features of an exponential function.

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

$y = \frac{3}{10}(\frac{7}{6})^x$

a =
$\frac{3}{10}$
b =
$\frac{7}{6}$
growth or decay?
growth decay

Explanation:

Step1: Recall exponential form

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

Step2: Analyze base for growth/decay

If $b > 1$, it is growth; if $0 < b < 1$, it is decay. Here, $b = \frac{7}{6} \approx 1.167 > 1$.

Answer:

Growth