Vincent D.

# Is C=2pi(r) a power function?

Is C=2Πr an example of a power function? If so can you state the power and constant of variation, and state it in the form of f(x)=k*x^a?

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Vincent D.

no...unless n is zero? I'm not sure, but I saw a similiar problem described as a power function with the power being zero.
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10/08/17

Mark M.

C = 2πr does not have a power (exponent)!
It is not a power function. It is a linear function.
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10/08/17

Arturo O.

What is the difference between saying it is a linear function and saying it is a function to the first power?

C(r) = 2πr = 2πr1

a = 2π
x = r
n = 1
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10/08/17

Mark M.

Arturo, just as Aquinas.
Could it be that the first power is the trivial case and is not considered?
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10/08/17

Arturo O.

Mark,

It could be defined that way, but technically, first power is still a power.
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10/08/17

Arturo O.

Yes!

But I hope the students are taught more about how to work with equations than about what to call them.
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10/08/17

Vincent D.

so is a linear function also a power function (to the first power)?? Or do I say it is not a power function and is only a linear function??
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10/08/17

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