Question

ying asymptotes of exponential functions
identify the horizontal asymptote of the graph.
$y = 1$
$y = 0$
$y = 6$
(graph of $t(x) = 6^x$ with coordinate axes and grid, red curve approaching the x - axis as x goes to negative infinity)

Explanation:

Step1: Recall exponential function asymptote

For an exponential function of the form \( f(x) = a^x \) (where \( a>0, a
eq1 \)), the horizontal asymptote is \( y = 0 \).

Step2: Analyze \( t(x)=6^x \)

The function \( t(x)=6^x \) is an exponential function with \( a = 6 \) (satisfying \( a>0, a
eq1 \)). So its horizontal asymptote follows the general rule for exponential functions.

Answer:

\( y = 0 \)