Question

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

I feel like it would be because it has a power, but I have no true reasoning to back it up.
Please help.

Answer 1

@Nnesha ?

Answer 2

@ganeshie8 @dan815

Answer 3

Let me get you a definition of what a power function is...

Answer 4

ax^b is a power function, so yup

Answer 5

So anything that has a power is a power function is the reason?

Answer 6

Haha well, you need to distinguish between power and exponential mainly
and has to do with where the "x" or variable is.

Answer 7

if what you are varying is found on the exponent then yeah, its exponential

Answer 8

otherwise if it is the base and the exponent is constant then you know it's a power function

Answer 9

So in simple words, since 0.5 is an exponent this is a power function?
Sorry, I am lost again haha.

Answer 10

Example: 5x^e, that's a power function because e is the constant power 2.717

5e^x is the simple exponent function, so it is an exponent function.

Answer 11

1/4x^0.5 = x^(-0.5)/4

Answer 12

x^something so its a power function of c

Answer 13

of x*

Answer 14

if u have any more questions my left chest flab is good at math

Answer 15

Thank you both!