sin(x)

With the function that you entered of sin(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 = sin(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) = sin(x)	Ordered Pair
2π	sin([2π])	-2.4492935982947E-16	(2π, -2.4492935982947E-16)
11π/6	sin([11π/6])	-0.5	(11π/6, -0.5)
7i/4	sin([7i/4])	-0.70710678118655	(7i/4, -0.70710678118655)
5π/3	sin([5π/3])	-0.86602540378444	(5π/3, -0.86602540378444)
3π/2	sin([3π/2])	-1	(3π/2, -1)
4π/3	sin([4π/3])	-0.86602540378444	(4π/3, -0.86602540378444)
5π/4	sin([5π/4])	-0.70710678118655	(5π/4, -0.70710678118655)
7π/6	sin([7π/6])	-0.5	(7π/6, -0.5)
π	sin([π])	1.2246467991474E-16	(π, 1.2246467991474E-16)
5π/6	sin([5π/6])	0.5	(5π/6, 0.5)
3π/4	sin([3π/4])	0.70710678118655	(3π/4, 0.70710678118655)
2π/3	sin([2π/3])	0.86602540378444	(2π/3, 0.86602540378444)
π/2	sin([π/2])	1	(π/2, 1)
π/3	sin([π/3])	0.86602540378444	(π/3, 0.86602540378444)
π/4	sin([π/4])	0.70710678118655	(π/4, 0.70710678118655)
π/6	sin([π/6])	0.5	(π/6, 0.5)

Determine the y-intercept:

The y-intercept is found when x is set to 0. From the grid above, our y-intercept is 0.5

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, 1]

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