what is the equation of the horizontal asymptote for following exponential function? (0, -2) y > -2 y = -2 y…

Explanation:

Step1: Recall horizontal - asymptote concept

The equation of a horizontal asymptote of a function is of the form $y = k$, where $k$ is a constant. It represents a horizontal line that the graph of the function approaches as $x\to\pm\infty$.

Step2: Analyze the options

The point $(0, - 2)$ is a coordinate - pair, not an equation of a line. The inequalities $y > - 2$ and $y < - 2$ represent regions in the coordinate plane, not a single horizontal line. The equation $y=-2$ is of the form of a horizontal line, which can be a horizontal asymptote.

Answer:

C. $y = - 2$