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Determine if the graph of the given equation is symmetric with respect to the $y$ -axis, origin or neither.$$x^{2}+x^{2} y^{2}+y^{2}=4$$

Both

Algebra

Chapter 1

Functions and their Applications

Section 7

More on Functions

Functions

Campbell University

Oregon State 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 whether the grap…

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Determine if the graph of …

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Test algebraically to dete…

to determine whether a graph off equation is symmetric with respect to the white excess, the origin or neither. We need tohave a criteria. Here is a criteria and queen is symmetric with respect to the Y axis. If replacing X by minor sex leaves the Ukrainian n changed an equation is symmetric with respect to their raging if replacing x by miners x and y by manners y At the same time, news the Ukrainian and changed In this exercise, the creation is given by ex Squires plus X squared times. White squared plus y squared equals four. If we replace X by manner sex, we get this notice that the square of miners X equals the square of eggs. Enhance this expression equals the original one and therefore this equation is symmetric with respect to the y axis, but also notice that if we also replace why by manners Why, since the square of minus y equals the square of why this expression also gives the original expression and enhance. This equation is also symmetric with respect to the are raging. So this equating insta metric with respect to both the Y X is and they are region

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