How do you graph f(x)=5^x+2?

Jan 12, 2018

$f \left(x\right)$ has the graph of $y = {5}^{x}$ shifted 2 units positive ("up") on the $y -$axis.

Explanation:

$f \left(x\right) = {5}^{x} + 2$

Consider the standard exponential increasing graph $y = {a}^{x}$ where $a = 5$ below.

graph{5^x [-16.01, 16.04, -8.01, 8.01]}
Then, $f \left(x\right)$ has this this graph shifted 2 units positive ("up") on the $y -$axis. Shown below:

graph{5^x +2 [-16.01, 16.04, -8.01, 8.01]}