what is the range of the function y = e^x + 1 graphed below?
what is the range of the function y = e^x + 1 graphed below?
Answer
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: Find the range of $y = e^x + 1$
If $e^x>0$, then $e^x + 1>0 + 1$. So $y=e^x + 1>1$.
Answer:
$(1,\infty)$