Question

Which of the following are exponential functions?

Answer 1

Exponential function is the function of the form $y=b\cdot a^x,$ where $a>0,\ a\neq 1.$

Options A and D are options that represent exponential functions, because:

A: $10>0,\ 10\neq 1$ and x is in power;

D: $\dfrac{1}{4}>0,\ \dfrac{1}{4}\neq 1$ and x is in power.

Options B and C do not represent exponential functions, because:

B: $-5$ and, therefore, for example, $(-5)^{\frac{1}{2}}=\sqrt{-5}$ is undefined.

C: x is not in power.

Answer: correct choices are A and D