Enter function:
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 2Determine the x-intercept
The x-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 x 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(x) that can existThe range is (-∞, 1) U (1, ∞)
(2π, -4.0828098382988E+15)
(11π/6, -2)
(7i/4, -1.4142135623731)
(5π/3, -1.1547005383793)
(3π/2, -1)
(4π/3, -1.1547005383793)
(5π/4, -1.4142135623731)
(7π/6, -2)
(π, 8.1656196765977E+15)
(5π/6, 2)
(3π/4, 1.4142135623731)
(2π/3, 1.1547005383793)
(π/2, 1)
(π/3, 1.1547005383793)
(π/4, 1.4142135623731)
(π/6, 2)
(11π/6, -2)
(7i/4, -1.4142135623731)
(5π/3, -1.1547005383793)
(3π/2, -1)
(4π/3, -1.1547005383793)
(5π/4, -1.4142135623731)
(7π/6, -2)
(π, 8.1656196765977E+15)
(5π/6, 2)
(3π/4, 1.4142135623731)
(2π/3, 1.1547005383793)
(π/2, 1)
(π/3, 1.1547005383793)
(π/4, 1.4142135623731)
(π/6, 2)
You have 2 free calculationss remaining
What is the Answer?
(2π, -4.0828098382988E+15)
(11π/6, -2)
(7i/4, -1.4142135623731)
(5π/3, -1.1547005383793)
(3π/2, -1)
(4π/3, -1.1547005383793)
(5π/4, -1.4142135623731)
(7π/6, -2)
(π, 8.1656196765977E+15)
(5π/6, 2)
(3π/4, 1.4142135623731)
(2π/3, 1.1547005383793)
(π/2, 1)
(π/3, 1.1547005383793)
(π/4, 1.4142135623731)
(π/6, 2)
(11π/6, -2)
(7i/4, -1.4142135623731)
(5π/3, -1.1547005383793)
(3π/2, -1)
(4π/3, -1.1547005383793)
(5π/4, -1.4142135623731)
(7π/6, -2)
(π, 8.1656196765977E+15)
(5π/6, 2)
(3π/4, 1.4142135623731)
(2π/3, 1.1547005383793)
(π/2, 1)
(π/3, 1.1547005383793)
(π/4, 1.4142135623731)
(π/6, 2)
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.
This calculator has 1 input.
What 5 formulas are used for the Function Calculator?
The y-intercept is found when x is set to 0
The 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
The 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?
- domain
- Set of all possible input values which makes the output value of a function valid
- function
- relation between a set of inputs and permissible outputs
ƒ(x) - ordered pair
- A pair of numbers signifying the location of a point
(x, y) - range
- Difference between the largest and smallest values in a number set
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