Graphing Rational Functions - Quiz Quiz

Question 1

How does the graph of g of x is equal to the fraction with numerator 1 and denominator x minus 5 plus 2 compare to the graph of the parent function f of x is equal to 1 over x ?

Revolt · Accepted Answer

B: g of x  is shifted  5  units right and  2  units up from  f of x .

Question 2

A function is shown. f⁡(x)=(3⁢x^2)/(4−8⁢x^2) The graph of f⁡(x) approaches a as x approaches infinity. What is a ? Enter your answer in the box.

Revolt · Accepted Answer

-3/8

Question 3

What is the equation of the horizontal asymptote of the graph of y=(4⁢x^2−12)/(3⁢x^2+5⁢x+6) ? Enter your answer in the box.

Revolt · Accepted Answer

y=4/3

Question 4

A certain company has a fixed cost of 200 dollars per day. It costs the company 3 point 1 0 dollars per unit to make its products. The company is tracking its average cost to make x units using f of x is equal to the fraction with numerator 200 plus 3 point 1 0 x and denominator x Which statement is true?

Revolt · Accepted Answer

D: The horizontal asymptote of  y is equal to 3 point 1 0  represents that the average cost per unit will approach  3 point 1 0 dollars  as the number of units produced increases.

Question 5

Which graph represents the function f of x is equal to 1 over x minus 1 ?

Revolt · Accepted Answer

C: Image with description A coordinate plane with a graph showing two 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 1 from the left. Its turning point is near (0 comma negative 1). 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. Its turning point is near (2 comma 1).

Question 6

What is the horizontal asymptote of f of x is equal to the fraction with numerator negative 2 x and denominator x plus 1 ?

Revolt · Accepted Answer

A: y is equal to negative 2

Question 7

What are the equations of the asymptotes of the graph of the function f of x is equal to the fraction with numerator 3 x squared minus 2 x minus 1 and denominator x squared plus 3 x minus 10 ?

Revolt · Accepted Answer

D: x is equal to negative 5 ,  x is equal to 2  and  y is equal to 3

Question 8

What are the vertical and horizontal asymptotes for the function f of x is equal to the fraction with numerator 3 x squared and denominator x squared minus 4 ?

Revolt · Accepted Answer

D: horizontal asymptote:  y is equal to 3  
vertical asymptote:  x is equal to negative 2 ,  x is equal to 2

Question 9

Which graph represents the function f of x is equal to the fraction with numerator 2 and denominator x minus 1 plus 4 ?

Revolt · Accepted Answer

A: Image with description A coordinate plane with a graph showing two branches. The branch on the left approaches y equals negative 4 as x approaches negative infinity from the right and approaches negative infinity as x approaches 1 from the left. Its turning point is near (negative 1 comma negative 5). The branch on the right approaches infinity as x approaches 1 from the right and approaches y equals negative 4 as x approaches infinity from the left. Its turning point is near (2 comma negative 3).

Question 10

Which graph represents the function f of x is equal to the fraction with numerator 3 x minus 2 and denominator x minus 2 ?

Revolt · Accepted Answer

B: Image with description A coordinate plane with a graph showing two branches. The branch on the left approaches y equals 3 as x approaches negative infinity from the right and approaches negative infinity as x approaches 2 from the left. Its turning point is near (0 comma 1). The branch on the right approaches infinity as x approaches 2 from the right and approaches y equals 3 as x approaches infinity from the left. Its turning point is near (4 comma 5).

Graphing Rational Functions - Quiz Quiz Answers

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Graphing Rational Functions - Quiz Quiz Answers

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