Question

What is the equation of the asymptote in the graph of ƒ(x) = 2(0.5)x + 3?

Answer 1

To solve this problem you must apply the proccedure shown below:

1. When you graph the function$f(x) = 2^{(0.5x)}+3$, you obtain the graph attached.

2. As you can see in the graph, the curve of the function tries to touch $y=3$ but it never does. Therefore, the horizontal asymptote is $y=3$.

Therefore, the answer is: $y=3$