# Is the function f(x) = (5/2)^x increasing or decreasing?

Any exponential function of the form $y = {a}^{x}$ is increasing $\forall a > 1$.
So since in this case $a = \frac{5}{2} = 2 , 5 > 1 , \implies f \left(x\right)$ is increasing over $\mathbb{R}$.