ANSWER
Horizontal asymptote: y = -3
EXPLANATION
The horizontal asymptote is the value the function takes when x→∞ or x→-∞. In this case, when x→∞ the function goes to ∞, but when x→-∞:
[tex]\lim _{x\rightarrow-\infty}4(2^{})^x-3=\lim _{x\rightarrow\infty}4\frac{1}{2^x}-3=\lim _{x\rightarrow\infty}4\frac{1}{2^x}-\lim _{x\rightarrow\infty}3=0-3=-3[/tex]The equation of the horizontal asyptote is y = -3
