identify the horizontal asymptote of each graph. t(x)=6^x y = 0 y = 1 y = 6 done

Explanation:

Step1: Recall exponential - function properties

For an exponential function of the form $y = a\cdot b^{x}+k$ (in this case $a = 1$, $b = 6$, $k = 0$), i.e., $y=6^{x}$.

Step2: Analyze the limit as $x\to-\infty$

We know that $\lim_{x\to-\infty}b^{x}=0$ when $b > 1$. Here $b = 6>1$, so $\lim_{x\to-\infty}6^{x}=0$.

Answer:

$y = 0$