4
QuizMultiple Choice
Graphing Cosecant and Secant Functions
Question 4 • 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 2 to 2 with an interval of 1 unit. A graph of a function with asymptotes at x equals plus or minus n pi is drawn. It touches the line y equals 1 at (pi by 2 comma 1) and (negative 3 by 2 pi comma 1). Another line y equals negative 1 touches at (3 by 2 pi comma negative 1) and (negative pi by 2 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 1 to 3 with an interval of 1 unit. A graph of a function with asymptotes at x equals plus or minus n pi is drawn. It touches the line y equals 1 point 2 5 at (pi by 2 comma 1 point 2 5) and (negative 3 by 2 pi comma 1 point 2 5). Another line y equals 0 point 7 5 touches at (3 by 2 pi comma 0 point 7 5) and (negative pi by 2 comma 0 point 7 5).
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 6 to 2 with an interval of 2 units. A graph of a function with asymptotes at x equals plus or minus n pi is drawn. It touches the line y equals 0 at (pi by 2 comma 0) and (negative 3 by 2 pi comma 0). Another line y equals negative 2 touches at (3 by 2 pi comma negative 2) and (negative pi by 2 comma negative 2).
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 1 to 3 with an interval of 1 unit. A graph of a function with asymptotes at x equals plus or minus n pi is drawn. It touches the line y equals 1 point 2 5 at (3 by 2 pi comma 1 point 2 5) and (negative pi by 2 comma 1 point 2 5). Another line y equals 0 point 7 5 touches at (pi by 2 comma 0 point 7 5) and (negative 3 by 2 pi comma 0 point 7 5).