# How do you graph g(x)=(5/8)^x?

Sep 26, 2015

Determine points on the line, plot the points, then sketch a curve through the points. Do not connect the dots.

#### Explanation:

Substitute $y$ for $g \left(x\right)$.

$y = {\left(\frac{5}{8}\right)}^{x}$

Determine Points

Substitute values for $x$, including both positive and negative numbers, then solve for $y$.
$x = - 8 ,$ $y = 42.9$
$x = - 7 ,$ $y = 26.8$
$x = - 5 ,$ $y = 10.49$
$x = - 3 ,$ $y = 4.096$
$x = - 1 ,$ $y = 1.6$
$x = 0 ,$ $y = 1$
$x = 1 ,$ $y = 0.625$
$x = 3 ,$ $y = 0.24$
$x = 7 ,$ $y = 0.037$
$x = 10 ,$ $y = 0.009$
$x = 25 ,$ $y = 0.0000079$

Plot the points and sketch a curve through the points.

graph{y=(5/8)^x [-10, 10, -5, 5]}