Enter function: With the function that you entered of f(x)=3
x , plot points, determine the intercepts, domain, range
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 1
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 Number
Determine the range of the function: The range is all the possible values of y or
f (x) that can exist
The 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)
You have 2 free calculationss remaining
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)
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
VIDEO For more math formulas, check out our
Formula Dossier
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
Example calculations for the Function Calculator Tags: Add This Calculator To Your Website