THIS USER ASKED 👇

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

THIS IS THE BEST ANSWER 👇

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

It is a function of power.

Step by step explanation:

The question gives us the following function:

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

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

Power Functions:

The form has a power function:

f (x) = ax ^ p,

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

When comparing the given function, we find:

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

Hence, the given function is a function of power.