identify the horizontal asymptote of each graph.\nt(x)=6^{x}\n(y = 0)\n(y = 1)\n(y = 6)\ndone

identify the horizontal asymptote of each graph.\nt(x)=6^{x}\n(y = 0)\n(y = 1)\n(y = 6)\ndone

identify the horizontal asymptote of each graph.\nt(x)=6^{x}\n(y = 0)\n(y = 1)\n(y = 6)\ndone

Answer

Explanation:

Step 1: Analyze the exponential function behavior

For ( t(x) = 6^x ), as ( x \to -\infty ), ( 6^x \to 0 ).

Step 2: Identify horizontal asymptote

Horizontal asymptote is determined by the limit as ( x \to \pm\infty ). Since ( 6^x \to 0 ) when ( x \to -\infty ), and ( 6^x \to \infty ) when ( x \to +\infty ), only ( y = 0 ) is the horizontal asymptote.

Answer:

y=0