## Related questions with answers

Question

How can you tell whether the graph of a function of form

$f(x) = ab^x$

will increase or decrease from left to right?

Solution

VerifiedThe graph of $f(x)=ab^x$ $\textbf{increases}$ from left to right when:

$a>0\text{ and }b>1$

or when:

$a<0\text{ and }0<b<1$

The graph of $f(x)=ab^x$ $\textbf{decreases}$ from left to right when:

$a<0\text{ and }b>1$

or when:

$a>0\text{ and }0<b<1\color{white}{\tag{1}}$

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