5
QuizMultiple Choice
Graphing Cosecant and Secant Functions
Question 5 • SS26 Math 3 S2 [M3960OX]
Which of the following is the graph of ?
Answer
A
On a coordinate plane, the x axis ranges from negative 2 pi to 2 pi with an interval of pi units and the y axis ranges from negative 12 to 20 with an interval of 4 units. A secant function with asymptotes at x equals plus or minus n pi is drawn. It touches the line y equals 5 at (3 by 2 pi comma 5), (pi by 2 comma 5), (negative pi by 2 comma 5) and (negative 3 pi by 2 comma 5). Another line y equals negative 1 touches at (2 pi comma negative 1), (pi comma negative 1), (0 comma negative 1), (negative pi comma negative 1) and (negative 2 pi comma negative 1).
B
On a coordinate plane, the x axis ranges from negative 2 pi to 2 pi with an interval of pi units and the y axis ranges from negative 12 to 20 with an interval of 4 units. A secant function with asymptotes at x equals plus or minus n pi is drawn. It touches the line y equals 5 at (9 by 5 pi comma 5), (4 by 5 pi comma 5), (negative 1 by 5 pi comma 5) and (negative 6 by 5 pi comma 5). Another line y equals negative 1 touches at (6 by 5 pi comma negative 1), (1 by 5 pi comma negative 1), (negative 4 by 5 pi comma negative 1) and (negative 9 by 5 pi comma negative 1).
C
On a coordinate plane, the x axis ranges from negative 2 pi to 2 pi with an interval of pi units and the y axis ranges from negative 12 to 20 with an interval of 4 units. A secant function with asymptotes at x equals plus or minus n pi is drawn. It touches the line y equals 5 at (pi comma 5) and (negative pi comma 5). Another line y equals negative 1 touches at (2 pi comma negative 1), (0 comma negative 1) and (negative 2 pi comma negative 1).
D
On a coordinate plane, the x axis ranges from negative 2 pi to 2 pi with an interval of pi units and the y axis ranges from negative 12 to 20 with an interval of 4 units. A secant function with asymptotes at x equals plus or minus n pi is drawn. It touches the line y equals 3 at (pi comma 3) and (negative pi comma 3). Another line y equals negative 3 touches at (2 pi comma negative 3), (0 comma negative 3) and (negative 2 pi comma negative 3).