Basics of Polynomial Functions

What is the degree of the polynomial function below?

y = x³ + 4x - 5

What does the degree of a polynomial function tell you?

• how hot it is
• how many x-intercepts it can have
• how many y-intercepts it has
• how many terms it has

What is the degree of the following function?

y = 25 - x²

What are the x-intercepts of the following function?
y = 2(x - 1)(x +3)(x - 4)

• 1, 3 and 4
• 2, 1, -3, and 4
• -1, 3, and -4
• 1, -3, and 4

Tags

CCSS.HSF-IF.C.7C

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

• infinity
• negative infinity
• 0
• -3

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What could be the equation for this graph?

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

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

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

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Which standard form function matches the factored form:
y = (x + 1)(x - 3)

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

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Which standard form function matches the factored form: 
y = (x + 1)(x - 1)(x + 4)

• y = x³ - x² - 4x
• y = x³ + 4x² - x - 4
• y = x³ - 4x² + x + 4
• y = x³ + x² - x - 4

Tags

CCSS.HSA.APR.A.1

What is the degree of the function graphed here?