# Power Function

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• Sep 30th 2007, 01:42 PM
NYKarl
Power Function
This may be an odd question, but could anyone explain to me why the "general form" of a linear function:

y=mx+b

... has a "+b" term, ie a y intercept, and yet the "general form" of a power function as I under it:

y = ax^b

is lacking a "+something" term?

appreciate your thoughts
thx
B
• Sep 30th 2007, 01:46 PM
Jhevon
Quote:

Originally Posted by NYKarl
This may be an odd question, but could anyone explain to me why the "general form" of a linear function:

y=mx+b

... has a "+b" term, ie a y intercept, and yet the "general form" of a power function as I under it:

y = ax^b

is lacking a "+something" term?

appreciate your thoughts
thx
B

it can have the plus something, but it doesn't have to. i would call that form, the "basic form" maybe. the general form would be more like:

$y = a_nx^n + a_{n - 1}x^{n - 1} + ... + a_2x^2 + a_1x + a_0$