tan(x)

With the function that you entered of tan(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 = tan(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) = tan(x)	Ordered Pair
2π	tan([2π])	-2.4492935982947E-16	(2π, -2.4492935982947E-16)
11π/6	tan([11π/6])	-0.57735026918963	(11π/6, -0.57735026918963)
7i/4	tan([7i/4])	-1	(7i/4, -1)
5π/3	tan([5π/3])	-1.7320508075689	(5π/3, -1.7320508075689)
3π/2	tan([3π/2])	5.4437464510651E+15	(3π/2, 5.4437464510651E+15)
4π/3	tan([4π/3])	1.7320508075689	(4π/3, 1.7320508075689)
5π/4	tan([5π/4])	1	(5π/4, 1)
7π/6	tan([7π/6])	0.57735026918963	(7π/6, 0.57735026918963)
π	tan([π])	-1.2246467991474E-16	(π, -1.2246467991474E-16)
5π/6	tan([5π/6])	-0.57735026918963	(5π/6, -0.57735026918963)
3π/4	tan([3π/4])	-1	(3π/4, -1)
2π/3	tan([2π/3])	-1.7320508075689	(2π/3, -1.7320508075689)
π/2	tan([π/2])	1.6331239353195E+16	(π/2, 1.6331239353195E+16)
π/3	tan([π/3])	1.7320508075689	(π/3, 1.7320508075689)
π/4	tan([π/4])	1	(π/4, 1)
π/6	tan([π/6])	0.57735026918963	(π/6, 0.57735026918963)

Determine the y-intercept:

The y-intercept is found when x is set to 0. From the grid above, our y-intercept is 0.57735026918963

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 (-∞, ∞) or All Real Number