Rational Functions Quiz

What are the vertical asymptotes of f(x)=(x²+3)/(x²+x-6)?

• x=3, x=-2

• x=3, x=2

• x=-3, x=-2

• x=-3, x=2

Tags

CCSS.HSF-IF.C.7D

What is the horizontal asymptote of f(x)=(3x²+7)/(x²-2x-3)?

• y=⅓

• y=0

• None

• y=3

Tags

CCSS.HSF-IF.C.7D

What is/are the hole(s) in the graph of f(x)=(3x²+14x+8)/(x²+9x+20)?

• x=4

• x=-4

• None

• x=⅖ and -4

Tags

CCSS.HSF-IF.C.7D

What is the domain and range of f(x)=(2x+5)/(x+3)?

• Domain: (-∞,-3)U(-3,∞) Range: (-∞,2)U(2,∞)

• Domain: (-∞,2)U(2,∞) Range: (-∞,-3)U(-3,∞)

• Domain: (-∞,-½)U(-½,∞) Range: (-∞,2)U(2,∞)

• Domain: (-∞,-3)U(-3,∞) Range: (-∞,4)U(4,∞)

Which of the following is the graph of f(x)=((-2)/(x+3))+4?

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7D

What are the x-intercepts?

• x= 2/3
• x= 4, x = -2
• x= -8, x = 1
• x= -4, x = 2

Tags

CCSS.HSF-IF.C.7D

Factor and cancel out in order to simplify.

• 1/(n-7)

• n-7

• (n-6)/(n-7)

• n-6

Tags

CCSS.HSA.APR.D.6

Simplify the rational function

• 1/(x + 5)

• 1/(x - 5)

• (x - 5)(x + 5)

• (x - 5)/[(x - 5)(x + 5)]

Tags

CCSS.HSA.APR.D.6

• (n + 4) / 10n

• (n + 4) 10

• 1 / (n - 7)

• (n - 7) / 10n

Tags

CCSS.HSA.APR.D.6

• (x + 9)

• (x - 3) / (x + 2)

• (x + 9) / (x + 2)

• (x - 3)

Tags

CCSS.HSA.APR.D.6