Function help!?

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How does one go about determining whether this function is even, odd or neither?

f(x) = abs(-3x)

2006-09-20 11:46:23 · 2 answers · asked by Paradox 2 in Education & Reference ➔ Homework Help

2 answers

An even function has symmetry along an axis.

|-3x| can be redefined as:
-3x, where x =< 0
3x, where x =>0

The equations are therefore symmetrical at x = 0, and the function is therefore even.

2006-09-22 03:06:04 · answer #1 · answered by ³√carthagebrujah 6 · 0⤊ 0⤋

Look at the definition of even/odd functions here: http://en.wikipedia.org/wiki/Even_function

Then, try plugging sample values for x to see if the function behaves the way an even/odd function is supposed to.

2006-09-21 03:07:11 · answer #2 · answered by Questioner 2 · 0⤊ 0⤋