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## 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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## Symmetry Assignment

- Word Document File

## Description

Questions & answers, adrienne kravchak.

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One shape that has at least one line of symmetry is a rectangle. A rectangle has two lines of symmetry. Line symmetry,is also known as reflection symmetry. When one half of an object is the reflection of the other half, the object is said t...

The three main types of symmetry used in mathematics are reflectional symmetry, rotational symmetry and point symmetry. Other less common types of symmetry include translational symmetry, glide symmetry, helical symmetry and symmetry of sca...

Symmetry is important because it is the main feature of nature that restricts the permissible dynamic laws. The concept of balance is very important to understanding how symmetry works.

Study with Quizlet and memorize flashcards containing terms like Check all of the functions that are odd., Which graphs have a line of symmetry?

What is Even Function? y=x^2, a graph is symmetric about the y axis if whenever (x,y) is on the graph, (-x

(2 points) Reflective or line symmetry.

Section 4.7 : Symmetry · A graph is said to be symmetric about the x x -axis if whenever (a,b) ( a , b ) is on the graph then so is (a,−b) ( a

... symmetry that may have existed. For example: y=x^2 has y-axis symmetry and is an even function. y=(x+1)^2 no longer has y-axis symmetry and is no longer an

Section 4.7 : Symmetry ; x= · −y2 ; x2=7y− · +2 ; y= · +x6−x8

(2 points) reflective symmetry 2 Points

Graphing Quadratic Functions f(x)=ax^2+bx+c ALGEBRA Worksheet ... assignment or quiz review. This resource also includes an exit ticket

2 2 + 4. 9. ( ) = √

2.) The value of k is the distance up (if positive) or down

2nd - 4th. Subjects. Math, Geometry. Resource Type.