polynomial review

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the degree?

• Positive
• Negative
• Odd
• Even

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.3

What is the leading coefficient?

• Positive
• Negative
• Odd
• Even

Tags

CCSS.HSA.APR.A.1

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

What is/are the increasing interval(s) for the function shown?

• $\left(-3,\ 1\right)$

• $\left(4,\ 8\right)$

• $\left(-\infty,1\right)\ and\ \left(-3,\ 1\right)$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is/are the decreasing interval(s) for the function shown?

•  $\left(2,\ 4\right)\ and\ \left(8,\ \infty\right)$ 

•  $\left(-\infty,\ 1\right)\ and\ \left(8,\ \infty\right)$ 

•  $\left(-\infty,1\right),\ \left(-3,\ 1\right)\ and\ \left(8,\ \infty\right)$ 

•  $\left(-\infty,\ 1\right),\ \left(2,\ 4\right)\ and\ \left(8,\ \infty\right)$ 

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the increasing interval on the function shown?

• $\left(-\infty,\ 1\right)$

• $\left(-\infty,\ 2\right)$

• $\left(2,\ \infty\right)$

• $\left(1,\ \infty\right)$

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the decreasing interval(s) on the function shown?

• $\left(-\infty,\ -15\right)\ and\ \left(9,\ -15\right)$

• $\left(-2,\ 9\right)\ and\ \left(2,\ \infty\right)$

• $\left(-\infty,\ -2\right)\ and\ \left(0,\ 2\right)$

• $\left(-2,\ 0\right)\ and\ \left(2,\ \infty\right)$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What are the local maxima of this graph?

• local maximum at (2.2, 3.9)
• local maximum at (-8, 5)
• local maximum at (5, -8)⋃(3.9, 2.2)
• local maximum at (-8, 5)⋃(2.2, 3.9)

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

at what x value is the local minimum

• x = 2

• x = 1

• x = −1

• No Absolute Minimum