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Find the horizontal asymptote of f(x) = 2^-x +3. Help!?

1 Answer

Vasilis R. · Stefan V.

Jul 27, 2018

Here it is.

Explanation:

The horizontal asymptote of any equation $g(x)=a^x$ is the $x$ axis or $y=0$ .

By adding a constant $c$ to get $g(x)+c$ , the graph moves upwards by $c$ , which in this case is $3$ .

Thus, we get the horizontal asymptote to be $y=3$ .

Here is the actual graph

graph{2^-x+3 [-10, 10, -5, 5]}

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