What are the key characteristics of the graph of f(x)=csc x?
Select all correct statements.
1.The y-intercept is (0,1).
2.The range of the function is (−∞, −1]∪[1, ∞) .
3.The x-intercepts occur every π, with one x-intercept at (π2,0).
4 .Asymptotes occurs every π, beginning at x = 0.
Look at the graph here : https://www.desmos.com/calculator/a6sxjsqyr4
There is no y intercept.....so (1) is false
From the graph....(2) is true
There are no x intercepts.....(3) is false
The last is true........csc = r /y ..... at 0 + n*pi where n is an integer, y = 0....and since we can't divide by 0, the csc is not defined at these values