Question 2 of 10Which of the following terms completes the sentence below?A sign chart helps you record information about the function's values around its _____ and vertical _____.A.ones; asymptotesB.zeros; valuesC.ones; valuesD.zeros; asymptotes
Question
Question 2 of 10Which of the following terms completes the sentence below?A sign chart helps you record information about the function's values around its _____ and vertical _____.A.ones; asymptotesB.zeros; valuesC.ones; valuesD.zeros; asymptotes
Solution
The correct answer is D. zeros; asymptotes. A sign chart is a graphical tool used in mathematics to determine the sign of a function around its zeros (the x-values where the function equals zero) and vertical asymptotes (the vertical lines that the graph of the function approaches but never touches).
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Question 4 of 10Which of the following terms completes the sentence below?To fill out a function's _____ _____, you will need to use test numbers before and after each of the function's _____ and asymptotes.A.rational equation; zerosB.sign chart; zerosC.sign chart; valuesD.rational equation; values
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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.(ii) Identify the zeros of the rational function.(iii) Identify the rational function.
Question textDetermine the vertical asymptote(s) of the graph of the function.
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