Characteristics of a graph

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# Characteristics of a graph - PowerPoint PPT Presentation

Characteristics of a graph. Finding Domain & Range Given:. Discrete graphs – you just LIST the domain and range (don’t repeat and list in order from least to greatest) Continuous graphs – use interval notation (least, greatest). Set Notation Uses:.

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## PowerPoint Slideshow about 'Characteristics of a graph' - kirkan

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Presentation Transcript
Finding Domain & Range Given:
• Discrete graphs – you just LIST the domain and range (don’t repeat and list in order from least to greatest)
• Continuous graphs – use interval notation (least, greatest)
Set Notation Uses:

Is used when there is a open dot or the number is NOT included on the graph.

Is used when there is a closed dot or when the number is included on the graph.

Is used when one number is excluded.

Domain and Range: Graph

Special case: When there is an open circle and closed circle on the same number – go with the closed circle.

Domain and Range: Graph

Special case: When there is an open circle and closed circle on the same number – go with the closed circle.

Domain and Range: Graph

All Real Numbers

Domain and Range: Graph

All Real Numbers

Increasing and Decreasing

To find where the graph is increasing and decreasing trace the graph with your FINGER from left to right.

x-values ONLY!

Increasing & Decreasing

MOVE LEFT TO RIGHT

• If your finger goes UP, the graph is increasing.
• If your finger goes DOWN, the graph is decreasing.
• If your finger goes neither up or down…then the graph is CONSTANT.

Find the interval of decrease.

The x-values where the graph is going down.

Decreasing

Find the interval of increase

The x-values where the graph is going up.

Increasing

Interval of increase:

Interval of decrease:

Interval of increase:

Interval of decrease:

a

b

x

a

b

x

a

b

x

a

b

x

a

x

a

x

Interval Notation