“All rational functions have asymptotes and points of discontinuity.”This is a false statement with many counterexamples.However, select the function that a student may use to support this statement if they believed it to be true. a.b.c.d.

Question 4 of 10To make a sketch of any rational function whose numerator is a number and whose denominator is a factored polynomial, use the following rule of thumb:The function has a vertical asymptote at every x-value where its denominator is zero, and you can make a table for each vertical asymptote to find out what happens to the function there.A.TrueB.False

To make a sketch of any rational function whose numerator is a number and whose denominator is a factored polynomial, use the following rule of thumb:The function has a vertical asymptote at every x-value where its denominator is zero, and the function is always negative between two asymptotes.A.TrueB.FalseSUBMITarrow_backPREVIOUS

The function 𝐹(𝑥)=6𝑥−2𝑥+5F(x)= x+56x−2​ is an example of a rational function.A.TrueB.False

(i) Identify the horizontal and vertical asymptotes (if any). Explain how you would find horizontal and vertical asymptotes of any rational function mathematically.(ii) Identify the zeros of the rational function.(iii) Identify the rational function.

Task 4.The following graph represents a rational function.(i) Identify the horizontal and vertical asymptotes (if any). Explain how you would find horizontal and vertical asymptotes of any rational function mathematically.