Polynomial Functions 1

The function shown has an:

• Even degree with positive leading coefficient.

• Odd degree with negative leading coefficient.

• Even degree with negative leading coefficient.

• Odd degree 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

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

f(x) = 2x³ - 3x² + 4x -10

State the maximum number of turns the graph of f(x) could make.

• 3

• 2

• 1

• 0

f(x) = -3x⁴ + x³ - 2x² + x - 1

What is the y-intercept of f(x)?

• (-1, 0)

• (0, -1)

• (-3, 0)

• (0, -3)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

f(x) = x³ - 3x² - 4x

Find the zeros of f(x).

• {-4, 0, 1}

• {-1, 4}

• {-1, 0, 4}

• {-4, 1}

f(x) = x³ - x² - 4x + 4

Find the zeros of f(x).

• {-2, 0, 2}

• {-2, 1, 2}

• {-2, 2 m. 2}

• {-2, 1 m. 2}

How many roots or zeros does the equation
f(x) = 5x⁴-8x³+4x²-6x+3 have?

• 3
• 4
• 5
• 0

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

• 2
• 1
• 4
• None

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

• The degree is odd

• The leading coefficient is positive

• The function has 5 real zeros

• The y-intercept is -4