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Oct 137:15 PM Functions vs. Relations EQ: How do I define a function? MCC9-12.F.IF.1 Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x). Oct 137:24 PM Definitions Relation - a set of associated inputs and outputs. Function - a relation where each input has only one output. Domain - all of the inputs or x-values Range - all of the outputs or y-values
Oct 137:37 PM Ordered Pairs Function Relation (2, 4) (5, -2) (2, 4) (-3, -7) Domain: Range: (2, 6) (5, -2) (2, 4) (-3, -7) Domain: Range: Oct 137:37 PM Table Function Relation Domain: Range: Domain: Range: x 3 4 8 2 y 3 2 0 2 x 2 4 8 2 y 3 2 0 2
Oct 138:00 PM Which of the following sets of ordered pairs are functions? A. (-3, 2) (2, 4) (3, 2) B. (-2, 4) (1, 3) (1, -5) C. (-5, 2) (-3, 2) (-1, 2) D. (2, 4) (2, 4) (2, 4) E. (2, 4) (2, 5) (2, 6) Oct 138:00 PM Which of the following tables are functions? A. B. C. D. E. x 2 5 2 5 y 3 4 5 6 x 2 5 2 5 y 3 4 3 4 x 3 3 3 3 y 3 4 5 6 x 2 3 4 5 y 3 3 3 3 x 2 3 4 5 y 3 3 3 3
Oct 138:00 PM Which of the following mapping diagrams are functions? A. C. B. D. 3
3 3
3 3
4 4
3 3
4 4
3 Oct 138:00 PM Which of the following graphs are functions? A. C. B. D.
