AnswersAlgebra IIRational Functions

Practice Test Answers

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Which inequality is equivalent to 3 plus 4 over x is greater than or equal to the fraction with numerator x plus 2 and denominator x ?

A
the fraction with numerator 2 x plus 2 and denominator x is greater than or equal to 0
B
the fraction with numerator negative x plus 9 and denominator x is greater than or equal to 0
C
the fraction with numerator negative x plus 5 and denominator x is greater than or equal to 0
D
the fraction with numerator 2 x plus 6 and denominator x is greater than or equal to 0
3

What are the vertical and horizontal asymptotes for the function f of x is equal to the fraction with numerator x squared plus x minus 6 and denominator x cubed minus 1 ?

A
vertical asymptote: x is equal to 1 horizontal asymptote: y is equal to 0
B
vertical asymptote: x is equal to negative 2 , x is equal to 3 horizontal asymptote: y is equal to 0
C
vertical asymptote: x is equal to 1 horizontal asymptote: none
D
vertical asymptote: x is equal to negative 2 , x is equal to negative 3 horizontal asymptote: none
4

Which solution to the equation the fraction with numerator 3 and denominator A plus 2 plus 2 over A is equal to the fraction with numerator 4 A minus 4 and denominator A squared minus 4 is extraneous?

A
A is equal to negative 2
B
neither A is equal to negative 2 nor A is equal to 4
C
A is equal to negative 2 and A is equal to 4
D
A is equal to 4
6

Which statement is true about the discontinuities of the function f of x ? f of x is equal to the fraction with numerator x squared minus 4 and denominator x cubed minus x squared minus 2 x

A
There are holes at x is equal to 0 and x is equal to negative 1 and an asymptote at x is equal to 2 .
B
There is a hole at x is equal to 2 .
C
There are asymptotes at x is equal to 0 and x is equal to negative 1 and a hole at open paren 2 comma 2 thirds close paren .
D
There are asymptotes at x is equal to 0 and x is equal to negative 1 .
7

For what values of A and m does f of x have a horizontal asymptote at y is equal to 2 and a vertical asymptote at x is equal to 1 ? f of x is equal to the fraction with numerator 2 x to the m th power and denominator x plus A

A
A is equal to negative 1 , m is equal to 0
B
A is equal to negative 1 , m is equal to 1
C
A is equal to 1 , m is equal to 0
D
A is equal to 1 , m is equal to 1
8

Which graph shows the solution set of the fraction with numerator x squared plus 9 x plus 20 and denominator x squared minus x minus 20 is greater than or equal to 0 ?

A
Image with description A number line from negative 5 to 6. An open circle is at negative 4 with a ray pointing left. An open circle is at 5 with a ray pointing right.
B
Image with description A number line from negative 5 to 6. A segment connects a closed circle at negative 5 to an open circle at negative 4. A segment connects an open circle at negative 4 to an open circle at 5.
C
Image with description A number line from negative 5 to 6. An open circle is at negative 5 with a ray pointing left. An open circle is at 5 with a ray pointing right.
D
Image with description A number line with a horizontal axis labeled x with tick marks from negative 5 to 6. A line starts at a solid circle at negative 5 and extends to the left with an arrowhead. Another line starts at an open circle at 5 and extends to the right with an arrowhead.

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Practice Test Answers — Algebra II