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

1 Answer
Sep 26, 2015

Answer:

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]}