Symmetry of Graphs: Odd and Even Functions - Concept

Concept Concept (1)

There are special types of functions that have graph symmetry. The most notable types are even and odd functions. Even functions have graph symmetry across the y-axis, and if they are reflected, will give us the same function. Odd functions have 180 rotational graph symmetry, if they are rotated 180 about the origin we will get the same function. There are algebraic ways to compute if a function is even or odd.

Sample Sample Problems (3)

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Symmetry of Graphs: Odd and Even Functions - Problem 1
Problem 1
How to prove whether a function, f(x) = x - 0.04*x^3, is even or odd.
Symmetry of Graphs: Odd and Even Functions - Problem 2
Problem 2
How to prove whether a function, f(x) = (x-4)/(x+4), is even or odd.
Symmetry of Graphs: Odd and Even Functions - Problem 3
Problem 3
How to determine whether an odd function times an even function, or an odd function divided by an odd function, is even or odd.