Functions Definition: – For every input, there is only one output – For every “x” there is...
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Transcript of Functions Definition: – For every input, there is only one output – For every “x” there is...
Functions
• Definition:– For every input, there is only one output– For every “x” there is only one “y”
• How to tell if a function is represent…– Do the input (x) values repeat?• If No…Function!!!• If Yes…Not a Function
– Does the graph pass the vertical line test?
Domain and Range
Algebra 1
Domain
• The Domain is all of the “x” values of a function– The Domain represents all values that are being
inputted into a function
• Horizontal Values
Range
• The Range is all of the “y” values of a function– The Range represents all values that are being
outputted into a function
• Vertical Values
Find the Domain and RangeX 3 4 6 -4
Y 11 14 17 20
Domain: { -4, 3, 4, 6 }
Range: { 11, 14, 17, 20 }
Find the Domain and RangeX -10 -8 -6 -8
Y 3 4 5 6
Domain: N/A
Range: N/A
Find the Domain and RangeX 5 15 25 35
Y 5 5 5 5
Domain: { 5, 15 , 25, 35}
Range: { 5 }
Writing Domain and Range from a Continuous Graph
• Because it is impossible to write every value of x and y on a continuous graph, we use inequalities to help
• Inequalities help us make an interval
Domain : { lowest x value < x < highest x value }Range: { lowest y value < y < highest y value }
Find the Domain and Range
Domain: { -3 < x < 8 }
Range: { -3 < y < 5 }
Find the Domain and Range
Find the Domain and RangeDomain: { -5 < x < 9 }
Range: { -5 < y < 5 }
Find the Domain and Range
Domain: { x > 1}
Range: { y > 0}
Find the Domain and Range
Range: { y < 7}
Find the Domain and Range
Range: { y > -5 }
Find the Domain and Range
Range: { y < 0 }
Find the Domain and RangeDomain: { -6 < x < 5}
Range: { -7 < y < 5}