With the function that you entered of sumof5consecutivenumbersequals0, 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 = 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 0
Determine the s-intercept The s-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 s that you can enter
The domain is
Determine the range of the function: The range is all the possible values of y or ƒ(s) that can exist
The 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)
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)
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
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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