How do you graph y=3(1.9)^x?

Jul 22, 2018

See below.

Explanation:

$y = 3 {\left(1.9\right)}^{x}$

$y$ has the standard exponential graph of $y = {a}^{x}$ where $a = 1.9$ scaled by a factor 3. $y$ has the attributes below:

$y \left(0\right) = 3$

Domain of $y = \left(- \infty , + \infty\right)$

${\lim}_{x \to + \infty} y \to \infty$

${\lim}_{x \to - \infty} y = 0$

Thus, Range of $y = \left(0 , + \infty\right)$

The graph of $y$ is shown below.
graph{3(1.9)^x [-6.25, 6.24, -1.31, 4.93]}