y=4/5x ·

02 May 2024, 00:00

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

x	Plug in x	ƒ(x) = 4/5x	Ordered Pair
-10	4/5(-10)	-8	(-10, -8)
-9	4/5(-9)	-7.2	(-9, -7.2)
-8	4/5(-8)	-6.4	(-8, -6.4)
-7	4/5(-7)	-5.6	(-7, -5.6)
-6	4/5(-6)	-4.8	(-6, -4.8)
-5	4/5(-5)	-4	(-5, -4)
-4	4/5(-4)	-3.2	(-4, -3.2)
-3	4/5(-3)	-2.4	(-3, -2.4)
-2	4/5(-2)	-1.6	(-2, -1.6)
-1	4/5(-1)	-0.8	(-1, -0.8)
0	4/5(0)	0	(0, 0)
1	4/5(1)	0.8	(1, 0.8)
2	4/5(2)	1.6	(2, 1.6)
3	4/5(3)	2.4	(3, 2.4)
4	4/5(4)	3.2	(4, 3.2)
5	4/5(5)	4	(5, 4)
6	4/5(6)	4.8	(6, 4.8)
7	4/5(7)	5.6	(7, 5.6)
8	4/5(8)	6.4	(8, 6.4)
9	4/5(9)	7.2	(9, 7.2)
10	4/5(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?

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

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)