Enter function: With the function that you entered of 2x - 5, plot points, determine the intercepts, domain, range
Since you did not specify a qualifying variable or function notation in your expression, we will assume y
y = 2x - 5
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 2
Now Plot points from 10 to -10 x Plug in x ƒ(x) = 2x - 5 Ordered Pair -10 2(-10 )-5 -25 (-10, -25) -9 2(-9 )-5 -23 (-9, -23) -8 2(-8 )-5 -21 (-8, -21) -7 2(-7 )-5 -19 (-7, -19) -6 2(-6 )-5 -17 (-6, -17) -5 2(-5 )-5 -15 (-5, -15) -4 2(-4 )-5 -13 (-4, -13) -3 2(-3 )-5 -11 (-3, -11) -2 2(-2 )-5 -9 (-2, -9) -1 2(-1 )-5 -7 (-1, -7) 0 2(0 )-5 -5 (0, -5) 1 2(1 )-5 -3 (1, -3) 2 2(2 )-5 -1 (2, -1) 3 2(3 )-5 1 (3, 1) 4 2(4 )-5 3 (4, 3) 5 2(5 )-5 5 (5, 5) 6 2(6 )-5 7 (6, 7) 7 2(7 )-5 9 (7, 9) 8 2(8 )-5 11 (8, 11) 9 2(9 )-5 13 (9, 13) 10 2(10 )-5 15 (10, 15)
Determine the y-intercept: The y-intercept is found when x is set to 0. From the grid above, our y-intercept is -5
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, -25) (-9, -23) (-8, -21) (-7, -19) (-6, -17) (-5, -15) (-4, -13) (-3, -11) (-2, -9) (-1, -7) (0, -5) (1, -3) (2, -1) (3, 1) (4, 3) (5, 5) (6, 7) (7, 9) (8, 11) (9, 13) (10, 15)
You have 2 free calculationss remaining
What is the Answer?
(-10, -25) (-9, -23) (-8, -21) (-7, -19) (-6, -17) (-5, -15) (-4, -13) (-3, -11) (-2, -9) (-1, -7) (0, -5) (1, -3) (2, -1) (3, 1) (4, 3) (5, 5) (6, 7) (7, 9) (8, 11) (9, 13) (10, 15)
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