Question

Is y = 1/4x^0.5 a power function? Explain your reasoning.

Answer 1

Answer:

$y =\displaystyle\frac{1}{4}x^{0.5}$

It is a power function.

Step-by-step explanation:

We are given the following function in the question:

$y =\displaystyle\frac{1}{4}x^{0.5}$

We have to check whether the given function is a power function or not.

Power Functions :

• A power function is of the form:

$f(x) = ax^p,$

where a is a constant and not equal to zero and p is a real number.

Comparing the given function, we get:

$a = \displaystyle\frac{1}{4}\\\\p = 0.5$

Hence, the given function is a power function.