Determine function type:
Since we have a number raised to a variable:this is an exponential function
Now Plot points from 10 to -10
| x | Plug in x | f(x) = 3x | Ordered Pair |
|---|---|---|---|
| -10 | 3-10 | 1.693508780843E-5 | (-10, 1.693508780843E-5) |
| -9 | 3-9 | 5.0805263425291E-5 | (-9, 5.0805263425291E-5) |
| -8 | 3-8 | 0.00015241579027587 | (-8, 0.00015241579027587) |
| -7 | 3-7 | 0.00045724737082762 | (-7, 0.00045724737082762) |
| -6 | 3-6 | 0.0013717421124829 | (-6, 0.0013717421124829) |
| -5 | 3-5 | 0.0041152263374486 | (-5, 0.0041152263374486) |
| -4 | 3-4 | 0.012345679012346 | (-4, 0.012345679012346) |
| -3 | 3-3 | 0.037037037037037 | (-3, 0.037037037037037) |
| -2 | 3-2 | 0.11111111111111 | (-2, 0.11111111111111) |
| -1 | 3-1 | 0.33333333333333 | (-1, 0.33333333333333) |
| 0 | 30 | 1 | (0, 1) |
| 1 | 31 | 3 | (1, 3) |
| 2 | 32 | 9 | (2, 9) |
| 3 | 33 | 27 | (3, 27) |
| 4 | 34 | 81 | (4, 81) |
| 5 | 35 | 243 | (5, 243) |
| 6 | 36 | 729 | (6, 729) |
| 7 | 37 | 2187 | (7, 2187) |
| 8 | 38 | 6561 | (8, 6561) |
| 9 | 39 | 19683 | (9, 19683) |
| 10 | 310 | 59049 | (10, 59049) |
Determine the y-intercept:
The y-intercept is found when x is set to 0. From the grid above, our y-intercept is 1Determine 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 Number
Determine the range of the function:
The range is all the possible values of y or f(x) that can existThe range is (0, ∞) or All Positive Real Numbers
(-10, 1.693508780843E-5)
(-9, 5.0805263425291E-5)
(-8, 0.00015241579027587)
(-7, 0.00045724737082762)
(-6, 0.0013717421124829)
(-5, 0.0041152263374486)
(-4, 0.012345679012346)
(-3, 0.037037037037037)
(-2, 0.11111111111111)
(-1, 0.33333333333333)
(0, 1)
(1, 3)
(2, 9)
(3, 27)
(4, 81)
(5, 243)
(6, 729)
(7, 2187)
(8, 6561)
(9, 19683)
(10, 59049)
(-9, 5.0805263425291E-5)
(-8, 0.00015241579027587)
(-7, 0.00045724737082762)
(-6, 0.0013717421124829)
(-5, 0.0041152263374486)
(-4, 0.012345679012346)
(-3, 0.037037037037037)
(-2, 0.11111111111111)
(-1, 0.33333333333333)
(0, 1)
(1, 3)
(2, 9)
(3, 27)
(4, 81)
(5, 243)
(6, 729)
(7, 2187)
(8, 6561)
(9, 19683)
(10, 59049)
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, 1.693508780843E-5)
(-9, 5.0805263425291E-5)
(-8, 0.00015241579027587)
(-7, 0.00045724737082762)
(-6, 0.0013717421124829)
(-5, 0.0041152263374486)
(-4, 0.012345679012346)
(-3, 0.037037037037037)
(-2, 0.11111111111111)
(-1, 0.33333333333333)
(0, 1)
(1, 3)
(2, 9)
(3, 27)
(4, 81)
(5, 243)
(6, 729)
(7, 2187)
(8, 6561)
(9, 19683)
(10, 59049)
(-9, 5.0805263425291E-5)
(-8, 0.00015241579027587)
(-7, 0.00045724737082762)
(-6, 0.0013717421124829)
(-5, 0.0041152263374486)
(-4, 0.012345679012346)
(-3, 0.037037037037037)
(-2, 0.11111111111111)
(-1, 0.33333333333333)
(0, 1)
(1, 3)
(2, 9)
(3, 27)
(4, 81)
(5, 243)
(6, 729)
(7, 2187)
(8, 6561)
(9, 19683)
(10, 59049)
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
