## Enter function:

With the function that you entered of w, 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 = w

## Determine function type:

Since we have a variable with no exponents:
this is a linear function

Since this is a linear function
it is a direct variation equation. The constant of proportionality is

## Now Plot points from 10 to -10

wPlug in xƒ(w) = wOrdered Pair
-10(-10)-10(-10, -10)
-9(-9)-9(-9, -9)
-8(-8)-8(-8, -8)
-7(-7)-7(-7, -7)
-6(-6)-6(-6, -6)
-5(-5)-5(-5, -5)
-4(-4)-4(-4, -4)
-3(-3)-3(-3, -3)
-2(-2)-2(-2, -2)
-1(-1)-1(-1, -1)
0(0)0(0, 0)
1(1)1(1, 1)
2(2)2(2, 2)
3(3)3(3, 3)
4(4)4(4, 4)
5(5)5(5, 5)
6(6)6(6, 6)
7(7)7(7, 7)
8(8)8(8, 8)
9(9)9(9, 9)
10(10)10(10, 10)

## Determine the y-intercept:

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

## Determine the w-intercept

The w-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 w that you can enter
The domain is (-∞, ∞) or All Real Numbers

## Determine the range of the function:

The range is all the possible values of y or ƒ(w) that can exist
The range is (-∞, ∞) or All Real Numbers

(-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

(-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