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# SOL 8.17

### Relations and Functions

What is definition of a relation? Any set of ordered pairs (x,y) for each first member (x-domain) there may be many second members (y-range) EX: {(1,2)(1,3)(2,2)(2,3)}
What is definition of domain? The set of all input values for the independent variable (x) in a given situation
What is the domain of : {(1,2)(1,3)(2,2)(2,3)} Domain {1,2}
What is the definition of range? The set of all output values for the dependent variable(y) in a given situation
What is the range of {(1,2)(1,3)(2,2)(2,3)}? Range {2,3}
What is the definition of a function? A relation in which there is one and only one second member for each first member
The independent variable is refer to as what value? input or the x-value
The dependent variable is refer to as what value output or the y-value
Can you repeat the domain in a function? . No.
Can you repeat the range in a function? Yes.
Which variable is refer to as the independent variable in y=2x+3? X
Which variable is refer to as the dependent variable y=4x-2? Y
Which variable is refer to as the input value y=2x+3? X
Which variable is refer to as the output value y=4x-2 ? Y
What is the definition of rule? relate elements in two sets can be represented by word sentences, equations, tables of values, graphs, or illustrated pictorially.
Is this a function {(3,2), (3,1), (3,3)}? Why? No, not a function because for every x there not just one y.
Is this a function {(1,2)(1,3)(1,4)(1,5)}? Why? No, it is a function because there is more than one y for each x
Is this a function {(2,2)(3,2)(4,1)(5,1)}? Why? Yes it is a function because the y-value of 2 goes with the x-values 2 and 3. The y-value 1 goes with x-values 4 and 5 or the x-values do not repeat.
Created by: pktaylor
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