Since you did not specify a qualifying variable or function notation in your expression, we will assume y
y = sumof5consecutivenumbersequals0
Determine function type:
Since a collection of constants and variables raised to powers:this is a polynomial function
Now Plot points from 10 to -10
| s | Plug in x | ƒ(s) = sumof5consecutivenumbersequals0 | Ordered Pair |
|---|---|---|---|
| -10 | (-10)umof5con(-10)ecutivenumber(-10)equal(-10)0 | -10 | (-10, -10) |
| -9 | (-9)umof5con(-9)ecutivenumber(-9)equal(-9)0 | -9 | (-9, -9) |
| -8 | (-8)umof5con(-8)ecutivenumber(-8)equal(-8)0 | -8 | (-8, -8) |
| -7 | (-7)umof5con(-7)ecutivenumber(-7)equal(-7)0 | -7 | (-7, -7) |
| -6 | (-6)umof5con(-6)ecutivenumber(-6)equal(-6)0 | -6 | (-6, -6) |
| -5 | (-5)umof5con(-5)ecutivenumber(-5)equal(-5)0 | -5 | (-5, -5) |
| -4 | (-4)umof5con(-4)ecutivenumber(-4)equal(-4)0 | -4 | (-4, -4) |
| -3 | (-3)umof5con(-3)ecutivenumber(-3)equal(-3)0 | -3 | (-3, -3) |
| -2 | (-2)umof5con(-2)ecutivenumber(-2)equal(-2)0 | -2 | (-2, -2) |
| -1 | (-1)umof5con(-1)ecutivenumber(-1)equal(-1)0 | -1 | (-1, -1) |
| 0 | (0)umof5con(0)ecutivenumber(0)equal(0)0 | 0 | (0, 0) |
| 1 | (1)umof5con(1)ecutivenumber(1)equal(1)0 | 1 | (1, 1) |
| 2 | (2)umof5con(2)ecutivenumber(2)equal(2)0 | 2 | (2, 2) |
| 3 | (3)umof5con(3)ecutivenumber(3)equal(3)0 | 3 | (3, 3) |
| 4 | (4)umof5con(4)ecutivenumber(4)equal(4)0 | 4 | (4, 4) |
| 5 | (5)umof5con(5)ecutivenumber(5)equal(5)0 | 5 | (5, 5) |
| 6 | (6)umof5con(6)ecutivenumber(6)equal(6)0 | 6 | (6, 6) |
| 7 | (7)umof5con(7)ecutivenumber(7)equal(7)0 | 7 | (7, 7) |
| 8 | (8)umof5con(8)ecutivenumber(8)equal(8)0 | 8 | (8, 8) |
| 9 | (9)umof5con(9)ecutivenumber(9)equal(9)0 | 9 | (9, 9) |
| 10 | (10)umof5con(10)ecutivenumber(10)equal(10)0 | 10 | (10, 10) |
Determine the y-intercept:
The y-intercept is found when s is set to 0. From the grid above, our y-intercept is 0Determine the s-intercept
The s-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 s that you can enterThe domain is
Determine the range of the function:
The range is all the possible values of y or ƒ(s) that can existThe range is
(-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)
(-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)
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, -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)
(-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. 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
