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

Explanation:

Step1: Recall the range of $e^x$

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

Step2: Multiply the inequality by 2

If $e^x>0$, then $2e^x>0\times2$, so $2e^x > 0$.

Step3: Subtract 1 from the inequality

If $2e^x>0$, then $2e^x - 1>0 - 1$, so $y=2e^x - 1>-1$.

Answer:

all real numbers greater than - 1