okay, so heres an example of one..
Graph y=5^-1x
I need to remember that the "negative" exponent reverses the location (along the x-axis) in which the power on 5 is negative. When the x-values are negative (that is, when I'm on the left-hand side of the graph), the value of –x will be positive, so the graph will grow quickly on the left-hand side. On the other hand, when the x-values are positive (that is, on the right-hand side of the graph), the value of –x will be negative, so the graph will stay very close to the x-axis.
x | y=5^-1x |
-2 | 5^2= 25 |
-1 | 5^1=5 |
0 | 5^0=1 |
1 | 5^-1=1/3=0.2 |