How do you find the domain and range of f(x)= 2+ e^(x-5)?

Oct 24, 2015

Look at the exponential function, then evaluate the range.

Explanation:

The domain or x-value be $\left(- \infty , \infty\right)$ because the exponential function can accept any value for x.

At $x = - \infty$ the exponential will equal zero. So, the lower range is 2.

At $x = \infty$ the exponential will equal $\infty$. So, the upper range is $\infty$.

In summary:

domain$= \left(- \infty , \infty\right)$
range $= \left[2 , \infty\right)$

hope that helped