Enter function:


  

With the function that you entered of tan%28x%29, 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 = tan%28x%29

Determine function type:

Since a collection of constants and variables raised to powers:
this is a polynomial function

Now Plot points from 10 to -10

xPlug in xƒ(x) = tan%28x%29Ordered Pair
-10tan%28(-10)%29-10(-10, -10)
-9tan%28(-9)%29-9(-9, -9)
-8tan%28(-8)%29-8(-8, -8)
-7tan%28(-7)%29-7(-7, -7)
-6tan%28(-6)%29-6(-6, -6)
-5tan%28(-5)%29-5(-5, -5)
-4tan%28(-4)%29-4(-4, -4)
-3tan%28(-3)%29-3(-3, -3)
-2tan%28(-2)%29-2(-2, -2)
-1tan%28(-1)%29-1(-1, -1)
0tan%28(0)%290(0, 0)
1tan%28(1)%291(1, 1)
2tan%28(2)%292(2, 2)
3tan%28(3)%293(3, 3)
4tan%28(4)%294(4, 4)
5tan%28(5)%295(5, 5)
6tan%28(6)%296(6, 6)
7tan%28(7)%297(7, 7)
8tan%28(8)%298(8, 8)
9tan%28(9)%299(9, 9)
10tan%28(10)%2910(10, 10)

Determine the y-intercept:

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

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

Determine the range of the function:

The range is all the possible values of y or ƒ(x) that can exist
The range is

(-10, -10)
(-9, -9)
(-8, -8)
(-7, -7)
(-6, -6)
(-5, -5)
(-4, -4)
(-3, -3)
(-2, -2)
(-1, -1)
(0, 0)
(1, 1)
(2, 2)
(3, 3)
(4, 4)
(5, 5)
(6, 6)
(7, 7)
(8, 8)
(9, 9)
(10, 10)


You have 2 free calculationss remaining




What is the Answer?
(-10, -10)
(-9, -9)
(-8, -8)
(-7, -7)
(-6, -6)
(-5, -5)
(-4, -4)
(-3, -3)
(-2, -2)
(-1, -1)
(0, 0)
(1, 1)
(2, 2)
(3, 3)
(4, 4)
(5, 5)
(6, 6)
(7, 7)
(8, 8)
(9, 9)
(10, 10)
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 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

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
Example calculations for the Function Calculator

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