1. Algebra 1 Section 3.1 Identify and express functions in various forms Many times two quantities are related to each other. The cost of buying gasoline depends upon the number of gallons bought. gallonscost 1 3.50 2 7.00 310.50 414.00 517.50 621.00 A relation is a pairing of two sets of values. It can be expressed as a table, a mapping, a set of ordered pairs, an equation, or a graph.

2. Ways to express a relation Ordered pairs (1,3.50) (2,7.00) (3, 10.50) (4,14.00) (5,17.50) (6, 21.00) gallonscost 13.50 27.00 310.50 414.00 517.50 621.00 Equation C = 3.50 g

3. A function is a relation in which each input value is paired with exactly one output value. The input values are called the domain. Is the relation a function? Name the domain and range. a.(3,5) (0,6) (8,4) (6,5) b.(9,6) (4,7) (-2,7) (6,4) The output values are called the range.

4. Vertical line test- If any vertical line can be drawn to intersect the graph of a relation more than once, it is not a function. Is it a function?

5. Determine whether the relation is a function. State the domain and range. Express the relation in various ways. Ordered pairs: Mapping Equation Hours worked Wages in $ 1 8 2 16 3 24 4 32 5 40 Function? Domain: Range:

6. Determine whether the relation is a function. State the domain and range. Express the relation in various ways. Ordered pairs: Table Function? Domain: Range: