Question 76518: hello out there,I am stuck in the domain problem solving,I really need some help badly,the first problem is,What is the domain of the relation {(1,4)(0,-2)(2,3)(-1,4)(-3,0)}.the next one is,What is the range of the relation {(1,4)(0,-2)(2,3)(-1,4)(-3,0).Next is,Find the domain of x minus 2y=1 if the range is {-2,0,5,8}.And the last one is,Solve y=-2x+7 if the domain is {-2,0,4,7}.Thanks to whoever can help.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Be sure you know the definition of the domain and range.
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Briefly:
Domain: The set of the first coordinates of all the ordered pairs of a function or expression, usually for the variable "x"
Range: The set of the 2nd coordinates of all the ordered pairs of a function or expression, usually for the variable "y"
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What is the domain of the relation {(1,4)(0,-2)(2,3)(-1,4)(-3,0)}.
The 1st value is x, its part of the domain, in the above set the domain is:
1, 0, 2, 3, -1, -3
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What is the range of the relation {(1,4)(0,-2)(2,3)(-1,4)(-3,0).
The 2nd value is y, it's part of the range, in the above set the range is:
4, -2, 3, 4, 0
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Find the domain of x minus 2y = 1 if the range is {-2,0,5,8}.
Replace the given values for y and find x in the equation: x - 2y = 1
The 1st value for y
x - 2(-2) = 1
x -(-4) = 1
x + 4 = 1
x = 1 - 4; subtracted 4 from both sides
x = -3 (when y = -2)
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The 2nd value for y
x - 2(0) = 1
x = 1
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The 3rd value for y
x - 2(5) = 1
x - 10 = 1
x = 1 + 10
x = +11
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I let you do the last value; substitute 8 for y and find x
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Solve y = -2x + 7 if the domain is {-2,0,4,7}
Here you substitute the given values for x and find y in the equation
y = -2(-2) + 7
y = +4 + 7
y = + 11; (when x = -2)
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Find y when x value is 0
y = -2(0) + 7
y = 7
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Find y when x value is +4
y = -2(4) + 7
y = -8 + 7
y = -1
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You should be able to find y, when x = 7 now
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You should have an understanding of the domain and range now, if you have any
questions you may email me. ankor@dixie-net.com
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