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Thank You

- Thread starter swatmedic05
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Thank You

- #2

Mark44

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For example, if f(x) = 1/x

D = {x in R | x [itex]\neq[/itex] 0}

R = {y in R | y > 0}

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Range is all the possible values that Y could be

example: determine the domain and range of y= x^2

when u sketched the graph, you can see x could be anything, it keeps going forever there for D( -infinity, +infinity)

for y, however, you can see y never goes below x axis, the maximum value for y is just 0

therefore (0, +infinity), because y goes up forever.

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But domain and range cant share a common number Can they?

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Mark44

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Sure, why not?But domain and range cant share a common number Can they?

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HallsofIvy

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They don'tBut domain and range cant share a common number Can they?

For example, the domain and range of f(x)= 2x+ 1 are both "all real numbers". Given any real number, I can certainly multiply it by 2 and then add 1- the domain is all real numbers. On the other hand, for any real number x, f(x)= 2x+ 1= y if 2x= y- 1 or x= (y- 1)/2 which is a real number. Since I can get any real number as a result of f(x) the range is all real numbers.

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