Vincent D.

asked • 10/08/17

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?

1 Expert Answer

By:

Mark M. answered • 10/08/17

Tutor
5.0 (243)

Mathematics Teacher - NCLB Highly Qualified

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.
Report

10/08/17

Mark M.

C = 2πr does not have a power (exponent)!
It is not a power function. It is a linear function.
Report

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
Report

10/08/17

Mark M.

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

10/08/17

Arturo O.

Mark,
 
It could be defined that way, but technically, first power is still a power.
Report

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.
Report

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??
Report

10/08/17

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.