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: $-5<0$ 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

Answer 2

Answer:

Hence, the correct option are $A\; \rm{and} \; D$.

Step-by-step explanation:

Given: Exponential functions

As we know that:

Exponential function has the form of $y=ba^x, \rm{where}\; a>0\; & \; a\neq 1$.

From the given option:

$A$:  $10>0$ and $x$ is in power;  

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

Here, But options $B\; \rm{and} \; C$  do not represent the exponential functions, as

$B$:  $-5<0$, so it is not satisfying the condition of exponential function.

$C$: $x$ is not in the power.

Hence, the correct option are $A\; \rm{and} \; D$.

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