Recall that a number a, such that
[tex]0
to the power of x is smaller than a. In other words as x increases
[tex]a^x,[/tex]
decreases. If a>1, then
[tex]a^x,[/tex]
increases.
From the given options, the only base number that is greater than 1 is:
[tex]\frac{7}{5}.[/tex]
Therefore:
[tex](\frac{7}{5})^x[/tex]
is an increasing function.
Answer: Third option.
