Rational Functions — Test

Question 1

What is the solution of the fraction with numerator x squared minus 1 and denominator x squared plus 5 x plus 4 is less than or equal to 0 ?

Revolt · Accepted Answer

negative 4 is less than x comma x is less than or equal to 1 and x is not equal to negative 1

Question 2

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

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

Question 3

The increase in a person’s body temperature cap t times t , above 98.6 degrees F, can be modeled by the function cap t times t is equal to the fraction with numerator 4 t and denominator t squared plus 1 , where t represents time elapsed. What is the meaning of the horizontal asymptote for this function?

Revolt · Accepted Answer

The horizontal asymptote of y is equal to 0 means that the person’s temperature will approach 98.6 degrees F as time elapses.

Question 4

What is the solution of the fraction with numerator negative 8 and denominator 2 y minus 8 is equal to the fraction with numerator 5 and denominator y plus 4 minus the fraction with numerator 7 y plus 8 and denominator y squared minus 16 ?

Revolt · Accepted Answer

y is equal to 6

Question 5

What is the vertical asymptote of the function?

Revolt · Accepted Answer

x is equal to negative 5

Rational Functions — Test Answers

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