Exploring Even and Odd Functions and Degrees

What type of symmetry do even functions exhibit?

• Symmetry to the origin

• Symmetry to the y-axis

• Symmetry to the x-axis

• No symmetry

Which of the following exponents would indicate an even function?

• 0, 1, 2

• 1, 3, 5

• 2, 4, 6

• 3, 5, 7

What is the algebraic rule for an even function?

• f(x) = x

• f(-x) = f(x)

• f(-x) = -f(x)

• f(x) = -f(x)

What type of symmetry do odd functions exhibit?

• Symmetry to the y-axis

• No symmetry

• Symmetry to the x-axis

• Symmetry to the origin

Which of the following exponents would indicate an odd function?

• 2, 4, 6

• 1, 3, 5

• 0, 2, 4

• 1, 2, 3

What is the algebraic rule for an odd function?

• f(-x) = -f(x)

• f(-x) = f(x)

• f(x) = -f(x)

• f(x) = x

What does the highest degree of a polynomial determine?

• The end behavior of the graph

• The y-intercept

• The number of roots

• The symmetry of the graph

What is the end behavior of a polynomial with an even degree?

• Both ends go in opposite directions

• One end goes up, the other goes down

• No specific pattern

• Both ends go in the same direction

What is the end behavior of a polynomial with an odd degree?

• No specific pattern

• One end goes up, the other goes down

• Both ends go in opposite directions

• Both ends go in the same direction

If a polynomial has a leading coefficient that is negative, what will be the end behavior?

• No specific pattern

• Both ends will go up

• Both ends will go down

• One end will go up, the other will go down