2.1 G

RAPHIN

G LINEAR

EQUATIO

NS

G O A L : F I N D D O M A I N A N D R A N G E . D E T E R M I N E I F R E L AT I O N S A R E F U N C T I O N S . G RA P H L I N E A R E Q U AT I O N S .

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 mappingShow 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

Linear : y = mx + b

Quadratic:

Cubic:

Absolute Value:

Hyperbola:

Hints:

• X is to the 1st power

• X is to the 2nd power

• X is to the 3rd power

• Absolute value• X is on the

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HOMEWORK

• Online: 2.1 • Pg 71: 24-48 even, 60, 62, 70—74

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