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 periA 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]
FunctionFree 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. Table of Functions Calculator
Kevin ran 4 miles more than Steve ran. The sum of their distances is 26 miles. How far did Steve runKevin 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 domainp(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 relationThe 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 FunctionFree 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