Exponential decay is always represented by a curve that's
going down on the far right, approaching a horizontal line,
usually the x-axis.
1.
No, that's going up on the right, so it's not going down
approaching a horizontal line on the far right, so it's not
decaying.
2.
No, that's going up on the right very slowly, so it's not
going down approaching a horizontal line, so it's not
decaying.
3.
No, that's going up on the right, so it's not going down
approaching a horizontal line, so it's not decaying.
4.
Yup, that's going down approaching the x-axis,
so it's the only one decaying.
The rule is this. If its equation is of the form:
, where a is positive and not 1, and
b is not 0.
then
if a > 1, then b < 0 (b must be negative) in order to have
exponential decay (approaching the x-axis on the right from
above).
if a < 1, then b > 0 (b must be positive) in order to have
exponential decay (approaching the x-axis on the right from
above).
Edwin