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- A graph is symmetric over the y-axis, the graph therefore, represents an even function. Similarly, a graph represents an odd function if a graph is symmetric over the origin. Also, the graph of an even function has a negative x-value (-x, y) corresponding to every original x-value. It also has the same y-values (x, y) for each.
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Jan 29, 2021 · It’s easiest to visually see even, odd, or neither when looking at a graph. Sometimes it’s difficult or impossible to graph a function, so there is an algebraic way to check as well. When we talk about “even, odd, or neither” we’re talking about the symmetry of a function.
Here are some key points to keep in mind when determining even and odd functions using a graph: A graph is symmetric over the y-axis, the graph therefore, represents an even function. Similarly, a graph represents an odd function if a graph is symmetric over the origin.
Without looking at a graph, we can determine whether the function is even or odd by finding formulas for the reflections and determining if they return us to the original function. Let’s begin with the rule for even functions.
Given a graph of a function, to test whether it is even or odd, consider the symmetry of the graph. Recall that an even function is symmetric about the y-axis while an odd function is symmetric about the origin.
Free online graphing calculator - graph functions, conics, and inequalities interactively
Understand whether a function is even, odd, or neither with clear and friendly explanations, accompanied by illustrative examples for a comprehensive grasp of the concept.
Free online graphing calculator - graph functions, conics, and inequalities interactively
