M3 Key Func Features Warm-up

Select all the even degree functions.

• A

• B

• C

• D

Describe the function.

• even degree, positive lead coefficient

• even degree, negative lead coefficient

• odd degree, positive lead coefficient

• odd degree, negative lead coefficient

Which equation MOST LIKELY matches the graph?

• y = x⁴ - x³ + 3x + 2

• y = - x⁴ + x³ + 5x + 2

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

Describe the end behavior of a 15th degree polynomial with a positive leading coefficient.  Choose all that apply. (Hint: There are two ends!)

Which function is represented on the graph?

• y = x(x - 3)(x - 2)
• y = x(x - 3)² (x+2)
• y = x(x + 3)² (x - 2)
• y = -x(x + 3)² (x - 2)

Which function is represented on the graph?

• y =  ^_(x + 2)(x - 1)²
• y = -(x - 2)(x + 1)²
• y = (x - 2)(x + 1)²
• y = -x³

Which root has a multiplicity of 2?

• -1

• 2

• 4

• -4

A polynomial function has zeros at 5 (multiplicity 2), 3 (multiplicity 1), and 0 (multiplicity 4). Write a function rule that could represent this function.

Which is a possible equation in factored form of the function in the graph?

• 8

• 4

• 5

• 7

• -4