Polynomial & Rational Functions

What is the x-Intercept of this function? Remember that the x-intercept occurs when y=0.

• x= 0

• x= 4

• x= 5

• x= -5

Tags

CCSS.HSF-IF.C.7D

What are the x-intercepts of this function?

• x= 2/3

• x= 4, x = -2

• x= -8, x = 1

• x= -4, x = 2

Tags

CCSS.HSF-IF.C.7D

Is there a hole or a vertical asymptote?

• A hole when x = 2

• A vertical asymptote at x = 2

• There is no hole or vertical asymptote

Tags

CCSS.HSF-IF.C.7D

Which of the following rational functions has the three attributes: vertical asymptote at x = -3, horizontal asymptote at y = 0, and a zero at -1?

Tags

CCSS.HSF-IF.C.7D

According to the Rational Root Theorem, what are the all possible rational roots? 
2x³ - 11x² + 12x + 9 = 0

• ±1,±2
• ±1,±3,±9
• ±1,±3±9,±1/2,±3/2,±9/2
• ±1,±2,±1/3,±2/3,±1/9,±2/9

Which of the lines are vertical asymptotes of this rational function? SELECT ALL THAT APPLY.

Tags

CCSS.HSF-IF.C.7D

Tags

CCSS.HSA.APR.B.2

Which of the following equations could be represented by the graph shown?

• y = –0.5x³ + 0.25x² – 1.25x – 2

• y = 0.25x³ + 0.75x² – 1.5x – 2

• y = 1.5x⁴ + 0.25x² – 0.5x – 2

• y = –0.75x⁴ + 1.25x³ – 0.5x² – 2x

Which of the following equations is represented by the graph shown?

• y = (x – 2)(x + 2)(x – 1)(x + 1)

• y = x⋅(x – 2)(x + 2)(x – 1)(x + 1)

• y = (x – 2)²(x – 1)²

• y = x⋅(x + 2)²(x + 1)²

Tags

CCSS.HSA.APR.B.3

Which equation represents the graph shown, which has a hole at (3, 2)?

• y = (x² – 4x + 3) / (x² – 5x + 6)

• y = (x² – 5x + 6) / (x² – 4x + 3)

• y = (x² – 3x + 2) / (x² – 5x + 6)

• y = (x² – 5x + 6) / (x² – 3x + 2)

Tags

CCSS.HSF-IF.C.7D