Question

question 14 (mandatory) (1 point) does y = 1.72^x represent exponential growth or decay? how do you know?

Explanation:

Step1: Recall exponential - function form

The general form of an exponential function is $y = a\cdot b^{x}$, where $a
eq0$, $b > 0$ and $b
eq1$. If $b>1$, the function represents exponential growth; if $0 < b<1$, the function represents exponential decay.

Step2: Identify the value of $b$

In the function $y = 1.72^{x}$, we have $a = 1$ and $b=1.72$.

Step3: Determine growth or decay

Since $b = 1.72>1$, the function $y = 1.72^{x}$ represents exponential growth.

Answer:

The function $y = 1.72^{x}$ represents exponential growth because the base $b = 1.72$ which is greater than 1.