Enter function: With the function that you entered of y = 4/5x, plot points, determine the intercepts, domain, range
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 4/5
Now Plot points from 10 to -10 x Plug in x ƒ(x) = 4/5x Ordered Pair -10 4/5(-10 ) -8 (-10, -8) -9 4/5(-9 ) -7.2 (-9, -7.2) -8 4/5(-8 ) -6.4 (-8, -6.4) -7 4/5(-7 ) -5.6 (-7, -5.6) -6 4/5(-6 ) -4.8 (-6, -4.8) -5 4/5(-5 ) -4 (-5, -4) -4 4/5(-4 ) -3.2 (-4, -3.2) -3 4/5(-3 ) -2.4 (-3, -2.4) -2 4/5(-2 ) -1.6 (-2, -1.6) -1 4/5(-1 ) -0.8 (-1, -0.8) 0 4/5(0 ) 0 (0, 0) 1 4/5(1 ) 0.8 (1, 0.8) 2 4/5(2 ) 1.6 (2, 1.6) 3 4/5(3 ) 2.4 (3, 2.4) 4 4/5(4 ) 3.2 (4, 3.2) 5 4/5(5 ) 4 (5, 4) 6 4/5(6 ) 4.8 (6, 4.8) 7 4/5(7 ) 5.6 (7, 5.6) 8 4/5(8 ) 6.4 (8, 6.4) 9 4/5(9 ) 7.2 (9, 7.2) 10 4/5(10 ) 8 (10, 8)
Determine the y-intercept: The y-intercept is found when x is set to 0. From the grid above, our y-intercept is 0
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 Numbers
Determine the range of the function: The range is all the possible values of y or ƒ(x) that can exist
The range is (-∞, ∞) or All Real Numbers
(-10, -8) (-9, -7.2) (-8, -6.4) (-7, -5.6) (-6, -4.8) (-5, -4) (-4, -3.2) (-3, -2.4) (-2, -1.6) (-1, -0.8) (0, 0) (1, 0.8) (2, 1.6) (3, 2.4) (4, 3.2) (5, 4) (6, 4.8) (7, 5.6) (8, 6.4) (9, 7.2) (10, 8)
You have 2 free calculationss remaining
What is the Answer?
(-10, -8) (-9, -7.2) (-8, -6.4) (-7, -5.6) (-6, -4.8) (-5, -4) (-4, -3.2) (-3, -2.4) (-2, -1.6) (-1, -0.8) (0, 0) (1, 0.8) (2, 1.6) (3, 2.4) (4, 3.2) (5, 4) (6, 4.8) (7, 5.6) (8, 6.4) (9, 7.2) (10, 8)
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
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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