Polynomial Functions

Which of the following are power functions?

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• Both option 1 and option 3 are power functions.

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.REI.D.10

The function shown has:

• Degree two with negative leading coefficient.

• Degree three with negative leading coefficient.

• Degree four with negative leading coefficient.

• Degree four with positive leading coefficient.

Which of the following could be a possible equation for the function shown?

• f(x) =-2x³ + x² - 5x + 1

• f(x) = 2x³ - 4x² + x + 1

• f(x) = 3x² + 5x + 1

• f(x) = -2x³ +3x - 1

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

State the minimum degree of the function shown:

• 3

• 4

• 5

• 6

Select all the graphs which show even degree functions.

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Tags

CCSS.HSF.BF.B.3

Which of the following functions contain line symmetry?

• g(x) = 3x³ + 2x²

• g(x) = 5x⁴ + 3x³ + 4x²

• g(x) = 3x⁶

• g(x) = 18x³

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Which of the following functions could represent the graph shown?

• f(x) = -2x⁵

• f(x) = -2x⁴ + 7x³ + 3x² -5x + 8

• f(x) = 2x⁵ + 3x⁴ - 3x³ + 5x² - 3x + 4

• None of these functions could represent the graph shown.

Tags

CCSS.HSA.APR.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which description best matches the function shown:

• Odd degree with positive leading coefficient.

• Even degree with positive leading coefficient.

• Degree three, with negative leading coefficient.

• Degree four, with negative leading coefficient.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The function f(x) = -5x⁴ + 3x² - 3x + 5

• Extends from quadrant 2 to quadrant 1.

• Extends from quadrant 2 to quadrant 4.

• Extends from quadrant 3 to quadrant 1.

• Extends from quadrant 3 to quadrant 4.

Tags

CCSS.HSA.APR.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The function shown contains:

• Only one local maximum.

• Two local maximums.

• Two local minimums.

• Three local maximums

Tags

CCSS.HSA.APR.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7