Domain, Range and Functions Problem Set #3

2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 Is this a function? Cannot be determined Yes No 4 -4 8 -8 4 -4 8 -8 12 -12 Is this a function? Cannot be determined Yes No Is this a function? Yes No Cannot be determined Is this a function? Cannot be determined Yes No Cannot be determined Yes No Is this a function? Function? Yes No Cannot be determined No Cannot be determined Yes Is this a function? What is the domain of the following relation? {(4, 1), (-3, 1), (3, 6)} {1, 6} {-3, 3, 4} {4, 3} {-3, 1, 3, 4, 6} What is the range of the relation? {(-1, 4), (2, 4), (6, -4), (0, 3), (5, 3)} {-1, 0, 2, 5, 6} {-4, 3, 3, 4, 4} {-4, 3, 4} {4, 3} When determining whether a relation is a function, which coordinate cannot repeat? x-coordinate y-coordinate x- and y-coordinates Which coordinate is the domain? x-coordinate y-coordinate z-coordinate the domain does not consist of any coordinates Remember: a relation is a set of ordered pairs. Is this relation a function? {(1, 4), (-5, 2), (4, 1), (1, 6)} Yes No, because "1" repeats No, beause "4" repeats Cannot be determined Is this relation a function? {(-8, 6), (-5, -2), (0, 5), (1, -2), (0, -8)} Yes No, because "-2 and -8" repeat No, because "0" repeats Cannot be determined Is this relation a function? {(6, 6), (1, 1), (5, 5), (-3, -3)} Yes No, because the coordinates repeat No, because a function has to have at least 5 ordered pairs Cannot be determined What is the domain of this relation? {(5, 6), (5, 3), (5, 1), (5, 0), (5, -6), (5, -10)} Therefore, this is NOT a function! { } -3 0 2 5 -4 1 3 Is this a function? Yes No -1 3 2 -6 2 -2 0 Is this a function? Yes No 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 What is the domain? {y: -6 ≤ y ≤ 6.5} {x: x ≥ -9} {x: -9 ≤ x ≤ 3} {all real numbers} -2 -2 x 3 3 y 1 3 0 2 What is the domain? {-2, -2, 3, 3} {0, 1, 2, 3} {-2, -3} {-2, 0, 1, 2, 3} 0 3 8 x 2 -4 -4 y 1 5 What is the range? {0, 2, 3, 8} {-4, 1, 5} {-4, 1, 5, -4} {-4, 1, 5, 4} |

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