Powers, Polynomials, and Rational Functions

What is the degree of the polynomial function
P(x)=3x⁴ - 7x² - 2x⁷ - x + 4?

• 4
• 7
• 2
• 1

Identify the end behavior:

• The end behavior of the graph is x →∞, y→∞ and x→∞, y→⁻∞
• The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→∞
• The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→-∞
• The end behavior of the graph is The end behavior of the graph is x →∞,y→⁻∞ and x→∞, y→⁻∞

Identify the end behavior:

• The end behavior of the graph is x →∞, y→∞ and x→∞, y→⁻∞
• The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→∞
• The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→0
• The end behavior of the graph is x →∞,y→∞and x→⁻∞, y→⁻∞

Identify the x-intercepts:

• No x-intercpts
• x = -2, x = 3, x = -8
• x = -2, x = 3
• x = -2, x = 3, x = 8

How many relative maximums does this function have?

• 1
• 2
• 3
• 4

How many relative minimums does this function have?

• 1
• 2
• 3
• 4

What are all the y-intercepts?

• (0, -6.25)
• (-3,0), (-2,0), (2,0), (3,0)
• (0, 36)
• (-∞, ∞)

Identify the decreasing interval:

• (0, 4)
• (-1, 1)
• (∞, -1) U (1, -∞)
• (-∞, -1) U (1, ∞)

Is this an odd or even function?

• even function
• odd function

A rational function can be written in the form

• n(x)/d(x)
• 3x+4
• 4x²+3x+4
• 3^x-7