what is the range of the function $y = 2e^{x}-1$?\no all real numbers less than -1\no all real numbers…

Explanation:

Step1: Analyze 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: Analyze the range of $2e^x$

Multiply the inequality $e^x>0$ by 2. We get $2e^x>0\times2$, so $2e^x > 0$.

Step3: Analyze the range of $2e^x - 1$

Subtract 1 from the inequality $2e^x>0$. We have $2e^x-1>0 - 1$, so $2e^x-1>-1$.

Answer:

all real numbers greater than -1