Domain and Range
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Domain and Range

by Linda Baha
(Tucson, AZ)

3 + 4 = 7 (-7) + (3) = 10 -(7 + 3) = 10 (-17 + 11) = -(11 + 17) = -29 need to find the domain and range

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Domain and Range

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Aug 09, 2011
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by: Staff


The question:

by Linda Baha
(Tucson, AZ)


3 + 4 = 7
(-7) + (3) = 10
-(7 + 3) = 10
(-17 + 11) = -(11 + 17) = -29

need to find the domain and range

The answer:

Some definitions:

For every relation:

The domain is the input (every possible input value): the first number in a set of ordered pairs

The range is the output (every possible output value): the second number in a set of ordered pairs


For example:

The following relation is a set of ordered points

{(1,20) , (2,30) , (3,40) , (4,50)}

The domain is (every possible input value): 1, 2, 3, 4

The range is (every possible output value): 20, 30, 40, 50


The following relation is a function

f(x) = x²


The DOMAIN is (every possible input value): x = all Real Numbers

Using subset notation: Dom( f(x) ) = {x ∈ ℝ}

Using interval notation: Domain: (-∞,∞)


The RANGE is (every possible output value): f(x) = all Real Numbers greater than or equal to 0

Using subset notation: Ran( f(x) ) = {f(x) ∈ ℝ│f(x) ≥ 0 }

Using interval notation: Range: [0,∞)



Your problems:

Strictly adhering to the definition of domain and range


3 + 4 = 7
Assuming this represents the Ordered pair: {3 + 4, 7}

Domain: {3 + 4}
Range: {7}


(-7) + (3) = 10
Assuming this represents the Ordered pair: {(-7) + (3), 10}

Domain: {(-7) + (3)}
Range: {10}


-(7 + 3) = 10
Assuming this represents the Ordered pair: {-(7 + 3), 10}

Domain: {-(7 + 3)}
Range: {10}


(-17 + 11) = ?
Assuming this represents the Ordered pair: {(-17 + 11) , ?}

Domain: {(-17 + 11)}

Range: {?}


-(11 + 17) = -29
Assuming this represents the Ordered pair: {-(11 + 17) , -29}

Domain: {-(17 + 11)}

Range: {-29}


Thanks for writing.

Staff
www.solving-math-problems.com


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