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Determine if the function defined by the given equation is odd, even or neither.$$f(x)=x|x|$$

Odd

Algebra

Chapter 1

Functions and their Applications

Section 7

More on Functions

Functions

Oregon State University

McMaster University

University of Michigan - Ann Arbor

Lectures

01:43

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x).

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Determine if the function …

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to determine why their function is audio. Neither we use the definition here gives the definition off even function and out function. The most important part to test by their function satisfies this definition is to find the expression off F minus acts to find f minor sex. We just need to replace X with minor sex in the expression off FX. In this exercise, f X equals X times the absolute value of X By replacing X with minor sex, we get f minus X equals miners x times the absolute value of miners eggs Since the absolute value miners X equals the absolute value of X, the expression off F minus X equals minus x times the absolute value of X, which is just the upside off FX enhance. According to that definition, off out function this function is art.

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