2.1 GRAPHING LINEAR EQUATIONS GOAL: FIND DOMAIN AND RANGE. DETERMINE IF RELATIONS ARE FUNCTIONS. GRAPH LINEAR EQUATIONS.

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Presentation transcript:

2.1 GRAPHING LINEAR EQUATIONS GOAL: FIND DOMAIN AND RANGE. DETERMINE IF RELATIONS ARE FUNCTIONS. GRAPH LINEAR EQUATIONS.

FUNCTION: DOMAIN AND RANGE Domain (x-values): Real numbers that represent the x-value of a relation. Range (y-values): Real numbers that represent the y-values of a relation. List ordered pairs: Find domain: Find range: Draw vertical line through each point:

2. FIND DOMAIN AND RANGE Graph the points: Draw a vertical line through each point Domain: Range: Mapping: Domain Range Vertical line test: A relation is a function if there is no vertical line that passes through two or more points. Function: A relation where the domain has one and only one range value. Relation: A set of real numbers with a domain and a range.

3. DETERMINE IF THE RELATION IS A FUNCTION Show by mapping Show by graphing Domain Range

4. VERTICAL LINE TEST Determine if the relation is a function by using a vertical line test. (press to see graph)

5-10 GRAPH LINEAR EQUATIONS Find Slope and y-intercept in the formula y=mx+b M=slope B-y-intercept (crosses y-axis) Press to see examples

TYPES OF FUNCTIONS Hints: X is to the 1 st power X is to the 2 nd power X is to the 3 rd power Absolute value X is on the bottom

HOMEWORK Online: 2.1 Pg 71: even, 60, 62, 70—74 even