Alg2 - Quiz 8-1 Rational Functions

Find the domain of the rational function f(x) = x / (x²-25)

• (- infinity, -5) U (5, infinity)
• (-infinity, -5) U (-5, 5) U (5, infinity)
• (- infinity, 5) U (5, infinity)
• (- infinity, 25) U (25, infinity)

State the vertical asymptotes:  
f(x) = 2 / (2x²+3x - 5)

• x = 1 , x = -5
• x = 1, x = -5/2
• x = -1/2, x = 5
• x = 0 , x = -5/2

Which asymptote(s) are determined by looking at the denominator?

• vertical
• horizontal
• end behavior
• none

Tags

CCSS.HSF-IF.C.7D

The y-intercepts of a rational function are:

• the value of f(0)
• the real zeros of the numerator
• always zero
• the real zeros of the denominatior

Tags

CCSS.HSF-IF.C.7D

The x-intercepts of a rational function are :

• the real zeros of the denominator
• always zero
• the value of f(0)
• the real zeros of the numerator

Tags

CCSS.HSF-IF.C.7D

What is the slant asymptote of
f(x) = (4x²+3x-9)/(x-5)  ?

• y = 4x - 17
• none
• y = 4x + 23
• x = 5

Tags

CCSS.HSF-IF.C.7D

What are the horizontal and vertical asymptotes?
f(x) =(3x+1)/(x-1)

• x=-1 y = -3
• x=1 y = -3
• x=-1 y =3
• x=1, y=3

Tags

CCSS.HSF-IF.C.7D

Find the horizontal asymptote.
f(x) = (4x-16)/(x²-16)

• x = 4, x = -4
• y=1
• y=0
• none

What are the x-intercept(s) for the function
f(x) = (4x + 12)/(x - 6)

• (-3,0)
• (6,0)
• (0,-2)
• (4,0)

which asymptote is found by looking at the coefficient of the highest degree terms?

• slant
• horizontal
• vertical
• parabolic