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If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. ## Course: Algebra 2   >   Unit 9

• Function symmetry introduction
• Even and odd functions: Graphs
• Even and odd functions: Tables
• Even and odd functions: Graphs and tables
• Even and odd functions: Equations
• Even and odd functions: Find the mistake
• Even & odd functions: Equations

## Symmetry of polynomials

What you should be familiar with before taking this lesson, what you will learn in this lesson, investigation: symmetry of monomials.

• If f ( − x ) ‍   is the same as f ( x ) ‍   , then we know f ‍   is even.
• If f ( − x ) ‍   is the opposite of f ( x ) ‍   , then we know f ‍   is odd.
• Otherwise, it is neither even nor odd.
f ( − x ) = 4 ( − x ) 3 = 4 ( − x 3 ) ( − x ) 3 = − x 3 = − 4 x 3 Simplify = − f ( x ) Since  f ( x ) = 4 x 3 ‍
• (Choice A)   Even A Even
• (Choice B)   Odd B Odd
• (Choice C)   Neither even nor odd C Neither even nor odd ## Concluding the investigation

Investigation: symmetry of polynomials, example 1: f ( x ) = 2 x 4 − 3 x 2 − 5 ‍  , example 2: g ( x ) = 5 x 7 − 3 x 3 + x ‍  , example 3: h ( x ) = 2 x 4 − 7 x 3 ‍  , check your understanding, want to join the conversation.

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• Flag Button navigates to signup page ## Symmetry Assignment • Word Document File

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1. Algebra 2 Summer Assignment Part 6 Vid0026 2. Algebra 2 Summer Assignment Part 3 Vid0020 3. Algebra 2 Summer Assignment Part 5 Vid0025 4. Concept of symmetry and degree/Algebra(Part-2) 5. Bel Illustrate!: Symmetry Assignment  #### VIDEO

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