Answer:
[tex]y =\displaystyle\frac{1}{4}x^{0.5}[/tex]
It is a power function.
Step-by-step explanation:
We are given the following function in the question:
[tex]y =\displaystyle\frac{1}{4}x^{0.5}[/tex]
We have to check whether the given function is a power function or not.
Power Functions :
[tex]f(x) = ax^p,[/tex]
where a is a constant and not equal to zero and p is a real number.
Comparing the given function, we get:
[tex]a = \displaystyle\frac{1}{4}\\\\p = 0.5[/tex]
Hence, the given function is a power function.