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kondor19780726 [428]
3 years ago
8

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

Mathematics
1 answer:
LenaWriter [7]3 years ago
3 0

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.

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