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How do you know whether an exponential function is increasing or decreasing?
in Mathematics by Diamond (75,934 points) | 1,269 views

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First of all exponential function has form y = a.b^x. + q  , but for now we focus on a.b^2 only.

If  a>0, f(x) is increasing.

If  a<0, f(x) is decreasing. The graph is reflected about the horizontal asymptote

.

The effect of b on direction will be as follows also:

Assuming a>0,

If b>1, f(x) is an increasing function.

If 0<b<1, f(x) is a decreasing function.

If b≤0, f(x) is not defined.
by Diamond (43,720 points)

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