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Chapter 2 Linear Equations and Functions. Sect. 2.1 Functions and their Graphs Relation – a mapping or pairing of input values with output values domain.

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Presentation on theme: "Chapter 2 Linear Equations and Functions. Sect. 2.1 Functions and their Graphs Relation – a mapping or pairing of input values with output values domain."— Presentation transcript:

1 Chapter 2 Linear Equations and Functions

2 Sect. 2.1 Functions and their Graphs Relation – a mapping or pairing of input values with output values domain – input values range – output values Function – a relation in which there is exactly one output for each input

3 Identify the domain and range. Then tell whether the relation is a function or not. -3 2 3 -2 1 -3 Input Output 1.

4 -3 1 2 1 3 InputOutput 2.2. 3.3. -4 1 2 7 250250 InputOutput

5 Coordinate plane Ordered pairs Quadrants

6 -4 1 2 7 250250 Graph the function 4.

7 Vertical line test A relation is a function if and only if no vertical line intersects the graph of the relation at more than one point.

8 Use the vertical line test to determine whether the relation is a function or not. 5.5. 6.

9 7.7.

10 A Function can be represented by an equation in 2 variables. The solution is an ordered pair (x, y). Use a table of values to graph the function.

11 Linear function – must be in the form y = mx + b Function notation – f(x) = mx + b

12 Decide whether the function is linear. Then evaluate when x = 3. 9.

13 10.

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