End Behavior and Finding Roots

Describe the end behavior of the function:

f(x) = 2x³ - x + 5

• Left up, Right up

• Left up, Right down

• Left down, Right up

• Left down, Right down

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe the end behavior of the function:

f(x) = -5x² + 3x

• Left up, Right up

• Left up, Right down

• Left down, Right up

• Left down, Right down

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Find all roots:

(2x - 1)(x - 5) = 0

• -1/2, 5

• 1/2, 5

• 1/2, -5

• -1/2, -5

Tags

CCSS.HSA-REI.B.4B

Find all roots:

(x - 3)(3x + 1)(x + 1) = 0

• 3, -1/3, -1

• -3, 1/3, 1

• -3, -1/3, 1

• 3, 1/3, -1

Tags

CCSS.HSF-IF.C.7C

Find all roots:

(x + 2)(x - 3)(3x - 5) = 0

• x=-2, x=3, x=5/3

• x=2, x=-3, x=-3/5

• x=2, x=-3, x=5/3

• x=-2, x=3, x=5

Tags

CCSS.HSF-IF.C.7C