Question

what is the range of the function y = 2e^x - 1? all real numbers less than -1 all real numbers greater than -1 all real numbers less than 1 all real numbers greater than 1

Explanation:

Step1: Analyze the exponential function

The exponential function $e^x$ has a range of $(0,+\infty)$, that is $e^x>0$.

Step2: Transform the inequality

Multiply both sides of $e^x > 0$ by 2, we get $2e^x>0$. Then subtract 1 from both sides: $2e^x - 1>- 1$.

Answer:

all real numbers greater than -1