AnswersPrecalculusRational Functions

Rational Functions — Test Answers

25 verified answers
21
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How does the graph of g of x is equal to the fraction with numerator 1 and denominator x plus 4 minus 6 compare to the graph of the parent function f of x is equal to 1 over x ?

A
g of x is shifted 4 units right and 6 units up from f of x .
B
g of x is shifted 4 units right and 6 units down from f of x .
C
g of x is shifted 4 units left and 6 units up from f of x .
D
g of x is shifted 4 units left and 6 units down from f of x .
22
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Which graph represents the function f of x is equal to the fraction with numerator 2 x and denominator x squared minus 1 ?

A
Image with description A coordinate plane with a graph showing three branches. The branch on the left approaches y equals 2 as x approaches negative infinity from the right and approaches infinity as x approaches negative 1 from the left. The branch in the middle approaches negative infinity as x approaches negative 1 from the right and approaches negative infinity as x approaches 1 from the left. The branch on the right approaches infinity as x approaches 1 from the right and approaches y equals 2 as x approaches infinity from the left.
B
Image with description A coordinate plane with a graph showing two branches. The branch on the left approaches y equals 1 as x approaches negative infinity from the right and approaches negative infinity as x approaches 0 from the left. The branch on the right approaches negative infinity as x approaches 1 from the right and approaches y equals 1 as x approaches infinity from the left.
C
Image with description A coordinate plane with a graph showing two branches. The branch on the left approaches y equals 2 as x approaches negative infinity from the right and approaches negative infinity as x approaches 1 from the left. The branch on the right approaches infinity as x approaches 1 from the right and approaches y equals 2 as x approaches infinity from the left.
D
Image with description A coordinate plane with a graph showing three branches. The branch on the left approaches the x-axis as x approaches negative infinity from the right and approaches negative infinity as x approaches negative 1 from the left. The branch in the middle approaches infinity as x approaches negative 1 from the right and approaches negative infinity as x approaches 1 from the left. It has a turning point at the origin. The branch on the right approaches infinity as x approaches 1 from the right and approaches the x-axis as x approaches infinity from the left.
23

Which expression is equivalent to the quotient? the fraction with numerator the fraction with numerator m plus 3 and denominator m squared minus 16 and denominator the fraction with numerator m squared minus 9 and denominator m plus 4

A
the fraction with numerator 1 and denominator open paren m minus 4 close paren times open paren m minus 3 close paren
B
the fraction with numerator 1 and denominator open paren m plus 4 close paren times open paren m plus 3 close paren
C
the fraction with numerator m minus 4 and denominator m minus 3
D
the fraction with numerator m plus 3 and denominator m plus 4
24

Max can mow a lawn in 45 minutes. Jan takes twice as long to mow the same lawn. If they work together, the situation can be modeled by the following equation, where t is the number of minutes it would take to mow the lawn together. 1 over 45 plus 1 over 90 is equal to 1 over t How long will it take Maxine and Jan to mow the lawn together?

A
30 point 0 minutes
B
45 point 0 minutes
C
135 point 0 minutes
D
67 point 5 minutes
25

Which expression represents the correct form for the quotient and remainder, written as partial fractions, of (8⁢x^3−2⁢x^2−67⁢x−24)/(2⁢x^2−x−21) ?

A
cap A plus the fraction with numerator cap b and denominator x plus 3 plus the fraction with numerator cap c and denominator 2 x minus 7
B
cap A x plus cap b plus the fraction with numerator cap c x plus cap d and denominator x plus 3 plus the fraction with numerator cap e x plus cap f and denominator 2 x minus 7
C
cap A plus the fraction with numerator cap b x plus cap c and denominator x plus 3 plus the fraction with numerator cap d x plus cap e and denominator 2 x minus 7
D
cap A x plus cap b plus the fraction with numerator cap c and denominator x plus 3 plus the fraction with numerator cap d and denominator 2 x minus 7

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Rational Functions — Test Answers — Precalculus