Function Mapping/ Function Rules King/Halling Algebra 2011-2012

AIM How can we evaluate different functions using mapping, rules, and their graphs? Topic: Function Mapping/Rules

DO NOW Plot the following points on the coordinate plane provided. {(-2,0), (-1,1), (2,-1), (2,3), (3,4), (4, 0)} Is the relation a function?

Functions Is the following relation a function? {(1,5), (2,6), (3,8), (4,7)} Identify the values of the domain and range of this function. Domain: Range:

Function Mapping In order to map this function, we use the domain on the left and the range on the right. Then we show which input belongs to each output with arrows.

Function Mapping Imagine you are Team X, and you are playing Team Y. Single coverage = Good (Function) Example:

Function Mapping Imagine you are Team X, and you are playing Team Y. Double-coverage = Great (Function) Example:

Function Mapping Imagine you are Team X, and you are playing Team Y. One Man Covering Two = Bad (Function) Example:

Functions?? 1) 2) 3)

Functions and Tables {(1,5), (2,6), (3,7), (3,8)} How can we tell this isn’t a function without making the function map? When we see an x-value (input) generating two different y-values(outputs) we know the machine is broken!!!!

Mixed Practice

Function Rules We can use tables to create function rules This is what we did during the Shoebox Machine game  guess what the function does Use the input and output to find the function’s rule or job

Practice C = 13W How does the input change into the output? What does the function do? Write the rule using 2 variables!! C = 13W Number of workers Number of computers built 1 13 2 26 3 39 4 52

More Practice Think what the function is doing. Write a function rule that explains this. RULE: X Y 2 4 3 7 8 5 9

Exit Ticket