csc(x)

With the function that you entered of csc(x), plot points, determine the intercepts, domain, range

Since you did not specify a qualifying variable or function notation in your expression, we will assume y
y = csc(x)

Determine function type:

Since we have one of the standard trigonometric functions:
this is a trigonometric function

Now Plot points from pi/6 to 2pi

x	Plug in x	ƒ(x) = csc(x)	Ordered Pair
2π	csc([2π])	-4.0828098382988E+15	(2π, -4.0828098382988E+15)
11π/6	csc([11π/6])	-2	(11π/6, -2)
7i/4	csc([7i/4])	-1.4142135623731	(7i/4, -1.4142135623731)
5π/3	csc([5π/3])	-1.1547005383793	(5π/3, -1.1547005383793)
3π/2	csc([3π/2])	-1	(3π/2, -1)
4π/3	csc([4π/3])	-1.1547005383793	(4π/3, -1.1547005383793)
5π/4	csc([5π/4])	-1.4142135623731	(5π/4, -1.4142135623731)
7π/6	csc([7π/6])	-2	(7π/6, -2)
π	csc([π])	8.1656196765977E+15	(π, 8.1656196765977E+15)
5π/6	csc([5π/6])	2	(5π/6, 2)
3π/4	csc([3π/4])	1.4142135623731	(3π/4, 1.4142135623731)
2π/3	csc([2π/3])	1.1547005383793	(2π/3, 1.1547005383793)
π/2	csc([π/2])	1	(π/2, 1)
π/3	csc([π/3])	1.1547005383793	(π/3, 1.1547005383793)
π/4	csc([π/4])	1.4142135623731	(π/4, 1.4142135623731)
π/6	csc([π/6])	2	(π/6, 2)

Determine the y-intercept:

The y-intercept is found when x is set to 0. From the grid above, our y-intercept is 2

Determine the x-intercept

The x-intercept is found when y is set to 0
The y-intercept is found when y is set to 0. From the grid above, our x-intercept is 0

Determine the domain of the function:

The domain represents all values of x that you can enter
The domain is (-∞, ∞) or All Real Number

Determine the range of the function:

The range is all the possible values of y or ƒ(x) that can exist
The range is (-∞, 1) U (1, ∞)

---