Enter function:
With the function that you entered of cost, 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 = cost
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
| t | Plug in x | ƒ(t) = cost | Ordered Pair |
|---|---|---|---|
| 2π | cos[2π] | 1 | (2π, 1) |
| 11π/6 | cos[11π/6] | 0.86602540378444 | (11π/6, 0.86602540378444) |
| 7i/4 | cos[7i/4] | 0.70710678118655 | (7i/4, 0.70710678118655) |
| 5π/3 | cos[5π/3] | 0.5 | (5π/3, 0.5) |
| 3π/2 | cos[3π/2] | -1.836970198721E-16 | (3π/2, -1.836970198721E-16) |
| 4π/3 | cos[4π/3] | -0.5 | (4π/3, -0.5) |
| 5π/4 | cos[5π/4] | -0.70710678118655 | (5π/4, -0.70710678118655) |
| 7π/6 | cos[7π/6] | -0.86602540378444 | (7π/6, -0.86602540378444) |
| π | cos[π] | -1 | (π, -1) |
| 5π/6 | cos[5π/6] | -0.86602540378444 | (5π/6, -0.86602540378444) |
| 3π/4 | cos[3π/4] | -0.70710678118655 | (3π/4, -0.70710678118655) |
| 2π/3 | cos[2π/3] | -0.5 | (2π/3, -0.5) |
| π/2 | cos[π/2] | 6.1232339957368E-17 | (π/2, 6.1232339957368E-17) |
| π/3 | cos[π/3] | 0.5 | (π/3, 0.5) |
| π/4 | cos[π/4] | 0.70710678118655 | (π/4, 0.70710678118655) |
| π/6 | cos[π/6] | 0.86602540378444 | (π/6, 0.86602540378444) |
Determine the y-intercept:
The y-intercept is found when t is set to 0. From the grid above, our y-intercept is 0.86602540378444Determine the t-intercept
The t-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 t 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(t) that can existThe range is [-1, 1]
(2π, 1)
(11π/6, 0.86602540378444)
(7i/4, 0.70710678118655)
(5π/3, 0.5)
(3π/2, -1.836970198721E-16)
(4π/3, -0.5)
(5π/4, -0.70710678118655)
(7π/6, -0.86602540378444)
(π, -1)
(5π/6, -0.86602540378444)
(3π/4, -0.70710678118655)
(2π/3, -0.5)
(π/2, 6.1232339957368E-17)
(π/3, 0.5)
(π/4, 0.70710678118655)
(π/6, 0.86602540378444)
(11π/6, 0.86602540378444)
(7i/4, 0.70710678118655)
(5π/3, 0.5)
(3π/2, -1.836970198721E-16)
(4π/3, -0.5)
(5π/4, -0.70710678118655)
(7π/6, -0.86602540378444)
(π, -1)
(5π/6, -0.86602540378444)
(3π/4, -0.70710678118655)
(2π/3, -0.5)
(π/2, 6.1232339957368E-17)
(π/3, 0.5)
(π/4, 0.70710678118655)
(π/6, 0.86602540378444)
You have 2 free calculationss remaining
What is the Answer?
(2π, 1)
(11π/6, 0.86602540378444)
(7i/4, 0.70710678118655)
(5π/3, 0.5)
(3π/2, -1.836970198721E-16)
(4π/3, -0.5)
(5π/4, -0.70710678118655)
(7π/6, -0.86602540378444)
(π, -1)
(5π/6, -0.86602540378444)
(3π/4, -0.70710678118655)
(2π/3, -0.5)
(π/2, 6.1232339957368E-17)
(π/3, 0.5)
(π/4, 0.70710678118655)
(π/6, 0.86602540378444)
(11π/6, 0.86602540378444)
(7i/4, 0.70710678118655)
(5π/3, 0.5)
(3π/2, -1.836970198721E-16)
(4π/3, -0.5)
(5π/4, -0.70710678118655)
(7π/6, -0.86602540378444)
(π, -1)
(5π/6, -0.86602540378444)
(3π/4, -0.70710678118655)
(2π/3, -0.5)
(π/2, 6.1232339957368E-17)
(π/3, 0.5)
(π/4, 0.70710678118655)
(π/6, 0.86602540378444)
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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