domain - Set of all possible input values which makes the output value of a function valid

(2,3)(4,5)(6,7)(8,9) represents a function

(2,3)(4,5)(6,7)(8,9) represents a function
Domain is the x-values:
x = (2, 4, 6, 8)
Range is the y-values:
y = (3, 5, 7, 9)
The function y, or f(x) is:
y = x + 1 where x = (2, 4, 6, 8)
Test this function for x = 2:
y = 2 + 1
y = 3
Test this function for x = 4:
y = 4 + 1
y = 5
Test this function for x = 6:
y = 6 + 1
y = 7
Test this function for x = 8:
y = 8 + 1
y = 9

A company’s number of personnel on active duty (not on sick leave or vacation leave) during the peri

A company’s number of personnel on active duty (not on sick leave or vacation leave) during the period 2000 - 2013 can be approximated by the cubic model f(x) = 2.5x^3 - 15x^2 - 80x + 1025, where x = 0 corresponds to 2000. Based on the model, how many personnel were on active duty in 2010? What is the domain of f?
If x = 0 corresponds to 2000, when 2010 is 2010 - 2000 = 10. We want f(10):
f(10) = 2.5(10)^3 - 15(10)^2 - 80(10) + 1025
f(10) = 2.5(1000) - 15(100) - 800 + 1025
f(10) = 2500 - 1500 - 800 + 1025
f(10) = [B]1,225[/B]

Function

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.

Kevin ran 4 miles more than Steve ran. The sum of their distances is 26 miles. How far did Steve run

Kevin ran 4 miles more than Steve ran. The sum of their distances is 26 miles. How far did Steve run? The domain of the solution is:
Let k be Kevin's miles ran
Let s be Steve's miles ran
We have 2 given equtaions:
[LIST=1]
[*]k = s + 4
[*]k + s = 26
[/LIST]
Substitute (1) into (2)
(s + 4) + s = 26
2s + 4 = 26
Plug this into our [URL='http://www.mathcelebrity.com/1unk.php?num=2s%2B4%3D26&pl=Solve']equation calculator[/URL] and we get s = 11

p(x)=2x-5 find the domain

p(x)=2x-5 find the domain
Using our[URL='http://www.mathcelebrity.com/function-calculator.php?num=2x-5&pl=Calculate'] function calculator[/URL]:
[B]All real numbers[/B]

The domain of a relation is all even negative integers greater than -9. The range y of the relation

The domain of a relation is all even negative integers greater than -9. The range y of the relation is the set formed by adding 4 to the numbers in the domain. Write the relation as a table of values and as an equation.
The domain is even negative integers greater than -9:
{-8, -6, -4, -2}
Add 4 to each x for the range:
{-8 + 4 = -4, -6 + 4 = -2. -4 + 4 = 0, -2 + 4 = 2}
For ordered pairs, we have:
(-8, -4)
(-6, -2)
(-4, 0)
(-2, 2)
The equation can be written:
y = x + 4 on the domain (x | x is an even number where -8 <= x <= -2)

What is a Function

Free What is a Function Calculator - This lesson walks you through what a function is, how to write a function, the part of a function, and how to evaluate the outputs of a function.

This lesson also shows you the domain and range of a function. This lesson shows you the y-intercept of a function and the x-intercept of a function. Also shows Relation and function

This lesson also shows you the domain and range of a function. This lesson shows you the y-intercept of a function and the x-intercept of a function. Also shows Relation and function

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