Solving and Graphing Rational Equations

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)

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 end behavior asymptote:  
(2x²-5x +1)/(x²-x)

• y = 2
• y = 1
• y = 0
• There is no EBA

Tags

CCSS.HSF-IF.C.7D

Determine the x-coordinate of the hole on the graph of 
f(x)= (x²-2x + 1)/(x²+2x - 3)

• -1
• 3
• 1
• -3

Tags

CCSS.HSF-IF.C.7D

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 limit of the function as x approaches negative infinity?

• -2
• -3
• negative infinity
• positive infinity

Tags

CCSS.HSF-IF.C.7D

Find the domain of the function.
x
__________
x²-4x-12

• (-∞,-2) u (-2,6) u (6, ∞)
• (-2,6)
• (-∞,2) u (2,6) u (6, ∞)
• (-∞,2) u (6 ,∞)