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Determine if the function defined by the given equation is odd, even or neither.$$f(x)=\frac{x^{2}}{x+1}$$

Neither

Algebra

Chapter 1

Functions and their Applications

Section 7

More on Functions

Functions

Oregon State University

Harvey Mudd College

University of Michigan - Ann Arbor

Idaho State University

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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Determine whether the func…

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to determine whether function is odd, even or neither we use the definition here gives the definition off even function and odd function. The most important park to test the wider off function satisfies the definition is to find the expression off F minus X to find f minor sex. We just need to replace X with minor sex in the expression off a fence. In this exercise, F X equals X squared over X plus one By replacing X with minor sex, we get f minus. X equals the square off miners X over minus X plus one, which it is X squared over, Minor says plus one. This function is neither even nor ought to say this that X be a specific number. C X equals two than F X equals 4/3 and F minus X equals fall over minus one, which is minus four. Therefore, F X equals neither f Miners X nor the opposite off. If minor sex enhanced dysfunction is neither even nor odd,

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