Question

what is the range of this exponential function?

Explanation:

Step1: Identify the asymptote

The graph approaches the x-axis ($y=0$) but never touches it, so $y=0$ is a horizontal asymptote.

Step2: Observe y-values

All points on the graph have positive $y$-values, increasing to infinity as $x$ increases, and approaching 0 (never reaching it) as $x$ decreases.

Answer:

All positive real numbers, or in interval notation: $(0, \infty)$