FUNCTIONS X Y What is a Function Function

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FUNCTIONS X Y

FUNCTIONS X Y

What is a Function? Function – a relationship that assigns exactly one output to

What is a Function? Function – a relationship that assigns exactly one output to one input value. Function Table – organizes the input, output based on the rule. Function Rule – describes the relationship between input (x) and output (y). Input (x) Output (x + 7) Input (x) Output (y) 10 10 + 7 = 17 10 17 12 12 + 7 = 19 12 19 14 14 + 7 = 21 14 21

Examples When given the rule, plug in the x input values to find y

Examples When given the rule, plug in the x input values to find y output values. Example 1 Input (x) Example 2 Output (x -4) Input (x) Output (2 x + 1) 4 0 4 9 7 3 7 15 10 6 10 21

Examples Continued When given the x input values and the y output values, figure

Examples Continued When given the x input values and the y output values, figure out the rule. Example 3 Example 4 Input (x) Output (y) 0 0 4 1 8 18 16 4 10 22 Rule: x ÷ 4 = y Rule: 2 x + 2 = y

Creating Examples Choosing a variable to represent the input is called “defining the variable”.

Creating Examples Choosing a variable to represent the input is called “defining the variable”. Example 5 A local band charges $70 for each hour it performs. Define a variable, then write a function rule to relate the total charge of performance to the number of hours performed. 1. Let h represent the number of hours (the cost of performance depends on h). 2. Determine the rule. When h = 1, y = $70, therefore rule is y=70 h. *In this scenario, h is the independent variable and y is the dependent variable*

Real Life Scenario & Practice • http: //studyjams. scholastic. com/studyjams/ja ms/math/algebra/function-tables. htm

Real Life Scenario & Practice • http: //studyjams. scholastic. com/studyjams/ja ms/math/algebra/function-tables. htm