Respuesta :

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 :

  • A power function is of the form:

[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.