what is the range of the function y = e^x + 1 graphed below? y>0 y<0 y<1

Explanation:

Step1: Recall the range of $y = e^x$

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

Step2: Analyze the transformation of the function $y = e^x+1$

For the function $y = f(x)+k$, when $k = 1$ and $f(x)=e^x$, the graph of $y = e^x$ is shifted up by 1 unit. If $y = e^x>0$, then $y=e^x + 1>0 + 1$.

Step3: Determine the range of $y = e^x+1$

So the range of $y = e^x+1$ is $y>1$.

Answer:

None of the given options are correct. The range of the function $y = e^x+1$ is $y > 1$.