Question

what is the range of this exponential function?{y | y ≤ -9}all real numbers{y | y ≥ -9}{y | y > -9}{y | y < -9}

Explanation:

Step1: Identify the horizontal asymptote

The graph has a horizontal dashed line at $y=-9$, so this is the asymptote the function approaches but never touches.

Step2: Determine y-values of the function

The graph lies entirely above this asymptote, meaning $y$ takes values greater than -9, never equal to -9.

Answer:

$\{y \mid y > -9\}$