Graphing Polynomial Functions

Select all the even degree functions.

• A

• B

• C

• D

Which functions have a negative leading coefficient?

• A

• B

• C

• D

Which functions readily show the y-intercept of their graphs?

• y = 3x² - 2

• y = 5 - 2x + 3x² + 6x³

• y = 2x(x-4)(x+1)

• y = -3(x+1)(x-5)

In which functions can you quickly find the x-intercepts of their graphs?

• y = 3x² - 2

• y = 5 - 2x + 3x² + 6x³

• y = 2x(x-4)(x+1)

• y = -3(x+1)(x-5)

Describe the type of polynomial shown.

• Even degree, negative leading coefficient
• Even Function
• Odd degree, negative leading coefficient
• Even degree, positive leading coefficient

What CANNOT be determined by the factors of a polynomial in factored form?

• y-intercept
• x-intercepts
• solutions
• degree of the polynomial

Which of the following is NOT a solution to f(x)=3x(x-8)(2x+1)²?

• 0
• -1/2
• 1/2
• 8

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

Is the leading coefficient positive or negative

• positive
• negative

Describe the end behavior of
f(x) = -5x⁴ - 2x² + 8

• Left side: Rises  
   Right side: Rises
• Left Side:  Rises
  Right side: Falls
• Left side: Falls
  Right side: Rises
• Left side: Falls
  Right side: Falls