what is the range of the function $y = 4e^{x}$?\no all real numbers greater than 0\no all real numbers less…

Explanation:

Step1: Recall property of exponential function

The exponential function $e^{x}$ has a range of $(0,+\infty)$, that is $e^{x}>0$ for all real - valued $x$.

Step2: Consider the given function

For the function $y = 4e^{x}$, since $e^{x}>0$, when we multiply both sides of the inequality by 4 (a positive number), we get $4e^{x}>0$. So the range of $y = 4e^{x}$ is all real numbers greater than 0.

Answer:

all real numbers greater than 0