Linear Quadratic Functions Domain and Range

1. Linear Quadratic FunctionsDomain 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 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. x = all real numbers or { -∞ ≤ x ≤ -∞ } • Unrestricted-

3. Domain: the x-value(s) that satisfy the graph Only certain values of x will satisfy the graph. The graph starts at a point then continue to move left or right. { x ≤ # } or { x ≥ # } • Restricted- { x ≥ 2 } { x ≥ 1 } { x ≤ 0 }

4. Domain: the x-value(s) that satisfy the graph 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. • Restricted- { -1≤ x ≤ 1} { -5≤ x ≤ 0} { -4≤ x ≤ 2}

5. Domain: the x-value(s) that satisfy the graph 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. { #, #, #, #} • Restricted- { 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 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 down and continue moving up. y = all real numbers or { -∞ ≤ y ≤ -∞ } • Unrestricted-

7. Range: the y-value(s) that satisfy the graph 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 ≥ # } • Restricted- { y ≥ 2 } { y ≤ 0 } { y ≥ 4 }

8. Range: the y-value(s) that satisfy the graph 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. • Restricted- { 0 ≤ y ≤ 2} { 0≤ y ≤ 10} { 0≤ y ≤ 5}

9. Range: the y-value(s) that satisfy the graph 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. { #, #, #, #} • Restricted- { 2,4,6,8,10} { 2,4,5} { -1,1,3,4,} Note: Numbers are only written once in ascending order