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

1 Answer
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(x).

y=(5/8)^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]}