y=4/5x

Since this is a linear functionit is a direct variation equation. The constant of proportionality is 4/5 (-10, -8)(-9, -7.2)(-8, -6.4)(-7, -5.6)(-6, -4.8)(-5, -4)(-4, -3.2)(-3, -2.4)(-2, -1.6)(-1, -0.8)(0, 0)(1, 0.8)(2, 1.6)(3, 2.4)(4, 3.2)(5, 4)(6, 4.8)(7, 5.6)(8, 6.4)(9, 7.2)(10, 8)

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Enter function:

With the function that you entered of y = 4/5x, plot points, determine the intercepts, domain, range

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 4/5

Now Plot points from 10 to -10

xPlug in xƒ(x) = 4/5xOrdered Pair
-104/5(-10)-8(-10, -8)
-94/5(-9)-7.2(-9, -7.2)
-84/5(-8)-6.4(-8, -6.4)
-74/5(-7)-5.6(-7, -5.6)
-64/5(-6)-4.8(-6, -4.8)
-54/5(-5)-4(-5, -4)
-44/5(-4)-3.2(-4, -3.2)
-34/5(-3)-2.4(-3, -2.4)
-24/5(-2)-1.6(-2, -1.6)
-14/5(-1)-0.8(-1, -0.8)
04/5(0)0(0, 0)
14/5(1)0.8(1, 0.8)
24/5(2)1.6(2, 1.6)
34/5(3)2.4(3, 2.4)
44/5(4)3.2(4, 3.2)
54/5(5)4(5, 4)
64/5(6)4.8(6, 4.8)
74/5(7)5.6(7, 5.6)
84/5(8)6.4(8, 6.4)
94/5(9)7.2(9, 7.2)
104/5(10)8(10, 8)

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 (-∞, ∞) or All Real Numbers

Determine the range of the function:

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

(-10, -8)
(-9, -7.2)
(-8, -6.4)
(-7, -5.6)
(-6, -4.8)
(-5, -4)
(-4, -3.2)
(-3, -2.4)
(-2, -1.6)
(-1, -0.8)
(0, 0)
(1, 0.8)
(2, 1.6)
(3, 2.4)
(4, 3.2)
(5, 4)
(6, 4.8)
(7, 5.6)
(8, 6.4)
(9, 7.2)
(10, 8)


What is the Answer?

(-10, -8)
(-9, -7.2)
(-8, -6.4)
(-7, -5.6)
(-6, -4.8)
(-5, -4)
(-4, -3.2)
(-3, -2.4)
(-2, -1.6)
(-1, -0.8)
(0, 0)
(1, 0.8)
(2, 1.6)
(3, 2.4)
(4, 3.2)
(5, 4)
(6, 4.8)
(7, 5.6)
(8, 6.4)
(9, 7.2)
(10, 8)

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?

domainSet of all possible input values which makes the output value of a function validfunctionrelation between a set of inputs and permissible outputs
ƒ(x)ordered pairA pair of numbers signifying the location of a point
(x, y)rangeDifference between the largest and smallest values in a number set

Example calculations for the Function Calculator

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