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Warmups - Quiz Pencil and Calculators Only Write your answers on the answer lines Try with a Mathlete 1 Graph: x + 2y = 6 x y 5-5 Functions Objective: To identify a function and to find the value of a function for a given element of the domain. Standard 16.0 Function Function: for every x, there is only 1 y. or your “x” cannot repeat Is this a function? Ordered pairs (2,3)(3,0)(5,2)(-1,-2)(4,1) Reason: no repeating x values (3,4)(5,1)(3,-1)(0,6) Reason: repeating x values No Yes Is this a function? Table x y x y 4 -1 1 -1 5 2 5 0 6 6 6 4 5 3 2 3 -1 1 -1 1 No X repeats Yes Is this a function? Map 3 4 -3 8 0 -6 10 Yes 0 -6 10 7 2 3 5 No 2 arrows Is this a function? Graph Vertical line test – drag your pencil across the graph, if it ever touches the graph in more than one spot, it is not a function. Yes No Fails vertical line test Not a function if: x+y=3 y = x2 – 4 Yes Yes |y| + 3 = 6 No 2y + 4 = 0 Yes y2 + x = 6 No x=4 No Not a function if: No - y2 No - “only x” No - |y| Homework 5-4 Study Guide Cool Down Is it a linear equation? No: 1. 3 + y = 2 x 4 2. x - 2y = 5 5 Denominator Exponent Multiply 3. 3y + 2 = 0 4. 8x - 7y = 2x - 5 5. 4x2 – 3x = y 6. 5xy = 30