Determine function type:
Since the right side of the function is a number:this is a constant function
Now Plot points from 10 to -10
| x | Plug in x | p(x) = 12 | Ordered Pair |
|---|---|---|---|
| -10 | N/A | 12 | (-10, 12) |
| -9 | N/A | 12 | (-9, 12) |
| -8 | N/A | 12 | (-8, 12) |
| -7 | N/A | 12 | (-7, 12) |
| -6 | N/A | 12 | (-6, 12) |
| -5 | N/A | 12 | (-5, 12) |
| -4 | N/A | 12 | (-4, 12) |
| -3 | N/A | 12 | (-3, 12) |
| -2 | N/A | 12 | (-2, 12) |
| -1 | N/A | 12 | (-1, 12) |
| 0 | N/A | 12 | (0, 12) |
| 1 | N/A | 12 | (1, 12) |
| 2 | N/A | 12 | (2, 12) |
| 3 | N/A | 12 | (3, 12) |
| 4 | N/A | 12 | (4, 12) |
| 5 | N/A | 12 | (5, 12) |
| 6 | N/A | 12 | (6, 12) |
| 7 | N/A | 12 | (7, 12) |
| 8 | N/A | 12 | (8, 12) |
| 9 | N/A | 12 | (9, 12) |
| 10 | N/A | 12 | (10, 12) |
Determine the y-intercept:
The y-intercept is found when x is set to 0. From the grid above, our y-intercept is 12Determine 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 p(x) that can existThe range is 12 since our p(x) values will always be 12
(-10, 12)
(-9, 12)
(-8, 12)
(-7, 12)
(-6, 12)
(-5, 12)
(-4, 12)
(-3, 12)
(-2, 12)
(-1, 12)
(0, 12)
(1, 12)
(2, 12)
(3, 12)
(4, 12)
(5, 12)
(6, 12)
(7, 12)
(8, 12)
(9, 12)
(10, 12)
(-9, 12)
(-8, 12)
(-7, 12)
(-6, 12)
(-5, 12)
(-4, 12)
(-3, 12)
(-2, 12)
(-1, 12)
(0, 12)
(1, 12)
(2, 12)
(3, 12)
(4, 12)
(5, 12)
(6, 12)
(7, 12)
(8, 12)
(9, 12)
(10, 12)
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, 12)
(-9, 12)
(-8, 12)
(-7, 12)
(-6, 12)
(-5, 12)
(-4, 12)
(-3, 12)
(-2, 12)
(-1, 12)
(0, 12)
(1, 12)
(2, 12)
(3, 12)
(4, 12)
(5, 12)
(6, 12)
(7, 12)
(8, 12)
(9, 12)
(10, 12)
(-9, 12)
(-8, 12)
(-7, 12)
(-6, 12)
(-5, 12)
(-4, 12)
(-3, 12)
(-2, 12)
(-1, 12)
(0, 12)
(1, 12)
(2, 12)
(3, 12)
(4, 12)
(5, 12)
(6, 12)
(7, 12)
(8, 12)
(9, 12)
(10, 12)
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
