Enter function: With the function that you entered of cos(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 = cos(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) = cos(x) 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 x is set to 0. From the grid above, our y-intercept is 0.86602540378444
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]
(2π, 1)
What is the Answer?
(2π, 1)
How does the Function Calculator work?
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.
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 VIDEO 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 ordered pair A pair of numbers signifying the location of a point range Difference between the largest and smallest values in a number set
Example calculations for the Function Calculator Tags: Add This Calculator To Your Website 