3.2 Polynomial Functions and their End Behaviors

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

• 4
• 7
• 2
• 1

Classify the function:

• quadratic
• cubic 
• quartic
• linear

• 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→⁻∞

What is the degree of the following function?
y = 25 - x²

• 25
• 1
• 2
• -1

Function: y = -3x⁴ +2x² - 8x + 9.
As x approaches infinity, what does y approach?

• infinity
• negative infinity
• 0
• -3

Which equation MOST LIKELY matches the graph?

• y = x⁴ - x³ + 3x² + 2
• y = -x⁴ + x³ + 5x + 2
• y = x³ - 2x² + 1x + 3
• y = -x³ - 2x² + 1x + 3

What is the degree of the function graphed here?

• 2
• 3
• 4
• 5

Which of the following helps determine end behavior?

• The leading coefficient
• The number of terms in the function
• The y-intercept
• The x-intercepts

Which function has this end behavior?

• -1x⁴-3x³+3
• -2x⁷+2x⁴+4
• 3x⁸+3x⁵-4x+7
• 4x⁵-4x⁴+2x³-9

Based on the end behavior of the polynomial, what best describes the leading coefficient?

• a negative real number
•  a positive real number
• an even real number
• an odd real number