Math Is Fun Forum

rogerkitkit

Member

Registered: 2009-08-02

Posts: 11

power functions?

I wanna ask for the definition for 'power function'

say for example

2^X (2 to the power x)

X^2 (x sq.)

which one is a power function

i've struggled for some time

MathsIsFun

Administrator

Registered: 2005-01-21

Posts: 7,713

Re: power functions?

A power function is: f(x) = a x[sup]b[/sup]

So, "a" and "b" are fixed, while "x" is the variable

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"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

riad zaidan

Guest

Re: power functions?

Hi,
Apower function is a function that has  the form  f(x) = x^a where a is a given real number
which is differentiable and has the derivative fُ (x)=a x^(a-1) and strictly increasing if a>0
and strictly decreasing if a<0 and constant =1 when a=0.
W.B.W
riad zaidan

riad zaidan

Guest

Re: power functions?

Hi,
Apower function is a function that has  the form  f(x) = x^a where a is a given real number
which is differentiable and has the derivative fُ (x)=a x^(a-1) and strictly increasing if a>0
and strictly decreasing if a<0 and constant =1 when a=0.
W.B.W
riad zaidan