Answer:
y=\frac{1}{4} x^{0.5} is a power function .
Step-by-step explanation:
We are given a function [tex]y=\frac{1}{4} x^{0.5}[/tex].
Note: And exponential function is in the form [tex]f(x)=a(b)^x[/tex], where x is in exponent.
A power function is in the form [tex]f(x)= x^n[/tex], where a natural number n is in the exponent.
If we compare [tex]y=\frac{1}{4} x^{0.5}[/tex] with [tex]f(x)= x^n[/tex], we can see that 0.5 is in the exponent and 0.5 is a natural number.
Therefore, [tex]y=\frac{1}{4} x^{0.5}[/tex] is a power function .
