Identifying Even and Odd Functions through Graphs

Miss Smith explains how to identify even, odd, and neither functions using graphs. She describes even functions as symmetrical over the y-axis and odd functions as having rotational symmetry. The video includes examples and encourages viewers to practice identifying these functions. A follow-up video will cover the same topic using algebra.

What is the main focus of this video tutorial?

• Identifying even, odd, and neither functions using graphs.

• Solving quadratic equations.

• Identifying even, odd, and neither functions using algebra.

• Graphing linear functions.

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How can you identify an even function from its graph?

• It is symmetrical about the x-axis.

• It is symmetrical about the y-axis.

• It has no symmetry.

• It is symmetrical about the origin.

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What does it mean if a graph is mirrored over the y-axis?

• It is an even function.

• It is a neither function.

• It is an odd function.

• It is a linear function.

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How can you identify an odd function from its graph?

• It is symmetrical about the x-axis.

• It is symmetrical about the y-axis.

• It is symmetrical about the origin.

• It has no symmetry.

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What should you do to check if a graph is an odd function?

• Flip the graph upside down.

• Reflect the graph over the x-axis.

• Reflect the graph over the y-axis.

• Rotate the graph 90 degrees.

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What is the characteristic of a neither function?

• It has no symmetry.

• It is symmetrical about the origin.

• It is symmetrical about the y-axis.

• It is symmetrical about the x-axis.

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If a graph is not mirrored over the y-axis and not the same when flipped upside down, what type of function is it?

• Linear

• Neither

• Odd

• Even

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What should you do first to check if a graph is an even function?

• Flip the graph upside down.

• Reflect the graph over the x-axis.

• Rotate the graph 90 degrees.

• Lay a pen on the y-axis and check for symmetry.

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If a graph is mirrored on either side of the y-axis, what type of function is it?

• Linear

• Even

• Odd

• Neither

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CCSS.HSF.BF.B.3

What is the best way to check if a graph is an odd function during a quiz?

• Reflect the graph over the x-axis.

• Reflect the graph over the y-axis.

• Flip the graph upside down.

• Rotate the graph 90 degrees.

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CCSS.HSF.BF.B.3