End Behavior, Multiplicity, and Piecewise

If the graph of a function crosses the x-axis, what does that mean about the multiplicity of that zero?

• Even

• Odd

• None

Tags

CCSS.HSF-IF.C.7C

If the graph of a function bounces at the x-axis, what does that mean about the multiplicity of that zero?

• Even

• Odd

• None

What are the
zeros of the polynomial
y = 3(x + 4)(x + 1)(x - 3)?

• -4, -1, 3
• 3, -3, 4, 1
• 4, 1, -3
• 3, -4, -1, 3

Tags

CCSS.HSF-IF.C.7C

• Even Degree
  - Leading Coeff.
• Even Degree
  + Leading Coeff.
• Odd Degree
  - Leading Coeff.
• Odd Degree
  + Leading Coeff.

Tags

CCSS.HSF.BF.B.3

Which function has this end behavior?

• -x²-3x+1
• -x³+2x²+3
• x⁴+3x³-4x+1
• x⁵-4x⁴+2x²-1

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which function has this end behavior?

• -1x⁴-3x³+3
• -2x⁷+2x⁴+4
• 3x⁸+3x⁵-4x+7
• 4x⁵-4x⁴+2x³-9

Tags

CCSS.HSA.APR.A.1

f(x) = x³

• UP and UP
• DOWN and DOWN
• UP and DOWN
• DOWN and UP

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

f(x) = -x⁴

• UP and UP
• DOWN and DOWN
• UP and DOWN
• DOWN and UP

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

f(x) = 3x² + 5x - 9

• UP and UP
• DOWN and DOWN
• UP and DOWN
• DOWN and UP

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

f(x) = x² - 3x + 7x⁹

• UP and UP
• DOWN and DOWN
• UP and DOWN
• DOWN and UP

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7