Rational Functions

Write an equation for a rational function with an x-intercept of (–1, 0), a hole at x = 3, and a VA at   x = 4. 

• y= (x-1)(x+3) / (x+4)(x+3)

• y= (x-4)(x-3) / (x+1)(x-3)

• y= (x+1)(x-3) / (x-4)(x-3)

• y= (x+4)(x+3) / (x+1)(x+3)

Tags

CCSS.HSF-IF.C.7D

The following function has (a) vertical asymptote(s) at:

• x = –3

• x = 5

• x = 3 and x = –3

• x = –5

Tags

CCSS.HSF-IF.C.7D

The following function has a horizontal asymptote at:

• y = 0

• y = –9

• y = 1

• There is an oblique asymptote, not a horizontal asymptote.

Tags

CCSS.HSF-IF.C.7D

The following function has y-intercept:

• (0, –9/5)

• (0, 9/5)

• (0, 3)

• (0, 3)

Tags

CCSS.HSF-IF.C.7D

Find the equation of the horizontal asymptote.

• y = 2

• y = 0

• y = 3

• There is an oblique asymptote, not a horizontal asymptote.

Tags

CCSS.HSF-IF.C.7D

Find the equation of the vertical asymptote.

• x = 0

• x = 1

• x = 2

• There is not a vertical asymptote; all factors in the denominator cancel out.

Tags

CCSS.HSF-IF.C.7D

The following function has a hole at:

• (2, 7/2)

• (2, 5)

• (–4, 5)

• (–4, 7/2)

Tags

CCSS.HSF-IF.C.7D

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

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

• y = 2x² / (x² – 1)

• y = 2x / (x² – 2x + 1)

• y = 2x² / (x² – 2x + 1)

• y = 2x / (x² – 1)

Tags

CCSS.HSF-IF.C.7D

The following function has x-intercept(s):

• (–5, 0)

• (3, 0) and (–3, 0)

• (9, 0) and (–9, 0)

• (9, 0) (9, 0)

Tags

CCSS.HSF-IF.C.7D