5.2 ? Functions and Function Notation Consider the following set: Domain: Range: A function is like a machine, you put a number in (input or _________), the machine mashes it, stretches it, etc. and the machine spits out a new number (output or __________). This is a special type of relation because for every input there is only one output. (eg. If you put 3 into the machine, it will always output 6) ?Every function is a relation but not every relation is a function.? Example 1 then output first Multiply by 3 Add 2 input Equation Graph Ordered Pairs Table of Values Input Output -3 -1 0 1 3 Determining whether a relation is a function: {(1, 2), (0, 5), (3, 8), (-3, 2), (5, 9)}Example 2 b) -2 3 6c)
5.2 Notes
5.2 ? Functions and Function Notation Consider the following set: Domain: Range: A function is like a machine, you put a number in (input or _________), the machine mashes it, stretches it, etc. and the machine spits out a new number (output or __________). This is a special type of relation because for every input there is only one output. (eg. If you put 3 into the machine, it will always output 6) ?Every function is a relation but not every relation is a function.? Example 1 then output first Multiply by 3 Add 2 input Equation Graph Ordered Pairs Table of Values Input Output -3 -1 0 1 3 Determining whether a relation is a function: {(1, 2), (0, 5), (3, 8), (-3, 2), (5, 9)}Example 2 b) -2 3 6c)
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