Since you did not specify a qualifying variable or function notation in your expression, we will assume y
y = 2x - 5
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 2
Now Plot points from 10 to -10
| x | Plug in x | ƒ(x) = 2x - 5 | Ordered Pair |
|---|---|---|---|
| -10 | 2(-10)-5 | -25 | (-10, -25) |
| -9 | 2(-9)-5 | -23 | (-9, -23) |
| -8 | 2(-8)-5 | -21 | (-8, -21) |
| -7 | 2(-7)-5 | -19 | (-7, -19) |
| -6 | 2(-6)-5 | -17 | (-6, -17) |
| -5 | 2(-5)-5 | -15 | (-5, -15) |
| -4 | 2(-4)-5 | -13 | (-4, -13) |
| -3 | 2(-3)-5 | -11 | (-3, -11) |
| -2 | 2(-2)-5 | -9 | (-2, -9) |
| -1 | 2(-1)-5 | -7 | (-1, -7) |
| 0 | 2(0)-5 | -5 | (0, -5) |
| 1 | 2(1)-5 | -3 | (1, -3) |
| 2 | 2(2)-5 | -1 | (2, -1) |
| 3 | 2(3)-5 | 1 | (3, 1) |
| 4 | 2(4)-5 | 3 | (4, 3) |
| 5 | 2(5)-5 | 5 | (5, 5) |
| 6 | 2(6)-5 | 7 | (6, 7) |
| 7 | 2(7)-5 | 9 | (7, 9) |
| 8 | 2(8)-5 | 11 | (8, 11) |
| 9 | 2(9)-5 | 13 | (9, 13) |
| 10 | 2(10)-5 | 15 | (10, 15) |
Determine the y-intercept:
The y-intercept is found when x is set to 0. From the grid above, our y-intercept is -5Determine the x-intercept
The x-intercept is found when y is set to 0The 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 enterThe 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 existThe range is (-∞, ∞) or All Real Numbers
(-10, -25)
(-9, -23)
(-8, -21)
(-7, -19)
(-6, -17)
(-5, -15)
(-4, -13)
(-3, -11)
(-2, -9)
(-1, -7)
(0, -5)
(1, -3)
(2, -1)
(3, 1)
(4, 3)
(5, 5)
(6, 7)
(7, 9)
(8, 11)
(9, 13)
(10, 15)
(-9, -23)
(-8, -21)
(-7, -19)
(-6, -17)
(-5, -15)
(-4, -13)
(-3, -11)
(-2, -9)
(-1, -7)
(0, -5)
(1, -3)
(2, -1)
(3, 1)
(4, 3)
(5, 5)
(6, 7)
(7, 9)
(8, 11)
(9, 13)
(10, 15)
Common Core State Standards In This Lesson
CCSS.MATH.CONTENT.6.EE.C.9,CCSS.MATH.CONTENT.8.F.A.1
What is the Answer?
(-10, -25)
(-9, -23)
(-8, -21)
(-7, -19)
(-6, -17)
(-5, -15)
(-4, -13)
(-3, -11)
(-2, -9)
(-1, -7)
(0, -5)
(1, -3)
(2, -1)
(3, 1)
(4, 3)
(5, 5)
(6, 7)
(7, 9)
(8, 11)
(9, 13)
(10, 15)
(-9, -23)
(-8, -21)
(-7, -19)
(-6, -17)
(-5, -15)
(-4, -13)
(-3, -11)
(-2, -9)
(-1, -7)
(0, -5)
(1, -3)
(2, -1)
(3, 1)
(4, 3)
(5, 5)
(6, 7)
(7, 9)
(8, 11)
(9, 13)
(10, 15)
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. Table of Functions Calculator
This calculator has 1 input.
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
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
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
