Question

consider the exponential function g where $g(x) = 6(3.2)^x$. what is the equation of the asymptote of g? $\boldsymbol{\quad}=\boldsymbol{\quad}$ (options: x, y)

Explanation:

Step1: Recall exponential function form

An exponential function has the form $g(x) = ab^x$ where $a>0, b>0, b
eq1$.

Step2: Analyze end behavior

As $x\to-\infty$, $b^x\to0$, so $g(x)\to0$.

Step3: Identify horizontal asymptote

Exponential functions of this form have a horizontal asymptote at $y=0$.

Answer:

$y = 0$