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DOMAIN AND RANGE Goal: I can relate the domain of a function to its graph and where applicable, to the quantitative relationship it describes. (F-IF.5)

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Presentation on theme: "DOMAIN AND RANGE Goal: I can relate the domain of a function to its graph and where applicable, to the quantitative relationship it describes. (F-IF.5)"— Presentation transcript:

1 DOMAIN AND RANGE Goal: I can relate the domain of a function to its graph and where applicable, to the quantitative relationship it describes. (F-IF.5)

2 DOMAIN: THE X-VALUE(S) THAT SATISFY THE GRAPH MOVING FROM LEFT TO RIGHT ON X-AXIS.  Unrestricted- Any value (positives, negative, fractions, decimals, radical numbers) of x will satisfy the graph. The graph has arrows at each end meaning it will continue to move left and continue moving right and it’s connected so all the #’s in between. x = all real numbers or { -∞ ≤ x ≤ +∞ }

3 DOMAIN: THE X-VALUE(S) THAT SATISFY THE GRAPH  Restricted- Only certain values of x will satisfy the graph. The graph starts at a point then continue to move either left or right. { x ≤ # } or { x ≥ # } { x ≥ 1 } { x ≤ 0 } { x ≥ 2 }

4 DOMAIN: THE X-VALUE(S) THAT SATISFY THE GRAPH  Restricted- Only certain values of x will satisfy the graph. The graph will starts at one point and ends at one point and the point are connect. { start # ≤ x ≤ end #} All the numbers in between the two point will also satisfy. { -1≤ x ≤ 1} { -4≤ x ≤ 2} { -5≤ x ≤ 0}

5 DOMAIN: THE X-VALUE(S) THAT SATISFY THE GRAPH  Restricted- Only certain values of x will satisfy the graph. The graph will only have specific coordinates, no line in between. Only those specific values will satisfy. { #, #, #, #} { 1,2,3,4,5} { 1,2,3,4,} { -2,1,3,4,} Note: Numbers are only written once in ascending order

6 RANGE: THE Y-VALUE(S) THAT SATISFY THE GRAPH MOVING FROM BOTTOM TO TOP ON THE Y-AXIS.  Unrestricted- Any value (positives, negative, fractions, decimals, radical numbers) of y will satisfy the graph. The graph has arrows at each end meaning it will continue to move left and continue moving right and it’s connected so all the #’s in between. y = all real numbers or { -∞ ≤ y ≤ +∞ }

7 RANGE: THE Y-VALUE(S) THAT SATISFY THE GRAPH  Restricted- Only certain values of y will satisfy the graph. The graph starts at a point then continue to move down or up. { y ≤ # } or { y ≥ # } { y ≥ 2 } { y ≤ 0 } { y ≥ 4 }

8 RANGE: THE Y-VALUE(S) THAT SATISFY THE GRAPH  Restricted- Only certain values of y will satisfy the graph. The graph will starts at one point and ends at one point and the point are connect. { start # ≤ y ≤ end #} All the numbers in between the two point will also satisfy. { 0 ≤ y ≤ 2} { 0≤ y ≤ 5} { 0≤ y ≤ 10}

9 RANGE: THE Y-VALUE(S) THAT SATISFY THE GRAPH  Restricted- Only certain values of y will satisfy the graph. The graph will only have specific coordinates, no line in between. Only those specific values will satisfy. { #, #, #, #} { 2,4,6,8,10} { 2,4,5} { -1,1,3,4,} Note: Numbers are only written once in ascending order


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