Enter function:
With the function that you entered of sine, plot points, determine the intercepts, domain, rangeSince you did not specify a qualifying variable or function notation in your expression, we will assume y
y = sine
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
| e | Plug in x | ƒ(e) = sine | 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 e is set to 0. From the grid above, our y-intercept is 0.5Determine the e-intercept
The e-intercept is found when y is set to 0The 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 e that you can enterThe domain is (-∞, ∞) or All Real Number
Determine the range of the function:
The range is all the possible values of y or ƒ(e) that can existThe range is [-1, 1]
(2π, -2.4492935982947E-16)
(11π/6, -0.5)
(7i/4, -0.70710678118655)
(5π/3, -0.86602540378444)
(3π/2, -1)
(4π/3, -0.86602540378444)
(5π/4, -0.70710678118655)
(7π/6, -0.5)
(π, 1.2246467991474E-16)
(5π/6, 0.5)
(3π/4, 0.70710678118655)
(2π/3, 0.86602540378444)
(π/2, 1)
(π/3, 0.86602540378444)
(π/4, 0.70710678118655)
(π/6, 0.5)
You have 1 free calculations remaining
What is the Answer?
(2π, -2.4492935982947E-16)
(11π/6, -0.5)
(7i/4, -0.70710678118655)
(5π/3, -0.86602540378444)
(3π/2, -1)
(4π/3, -0.86602540378444)
(5π/4, -0.70710678118655)
(7π/6, -0.5)
(π, 1.2246467991474E-16)
(5π/6, 0.5)
(3π/4, 0.70710678118655)
(2π/3, 0.86602540378444)
(π/2, 1)
(π/3, 0.86602540378444)
(π/4, 0.70710678118655)
(π/6, 0.5)
How does the Function Calculator work?
Free Function Calculator - Takes various functions (exponential, logarithmic, signum (sign), polynomial, linear with constant of proportionality, constant, absolute value), and classifies them, builds ordered pairs, and finds the y-intercept and x-intercept and domain and range if they exist.
This calculator has 1 input.
What 5 formulas are used for the Function Calculator?
The y-intercept is found when x is set to 0The x-intercept is found when y is set to 0
The domain represents all values of x that you can enter
The range is all the possible values of y or ƒ(x) that can exist
For more math formulas, check out our Formula Dossier
What 4 concepts are covered in the Function Calculator?
domainSet of all possible input values which makes the output value of a function validfunctionrelation between a set of inputs and permissible outputsƒ(x)ordered pairA pair of numbers signifying the location of a point
(x, y)rangeDifference between the largest and smallest values in a number set
Example calculations for the Function Calculator
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