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Assignment: Positive and Negative Parts and Increasing and Decreasing
Intervals
Part I: Analyzing a Graph
For each graph below, identify any interval(s) where the rational function is a) positive, b)
negative, c) increasing, and/or d) decreasing. Use inequality signs where appropriate, and write
“none” if any of the characteristics do not apply.
1. a) positive: __________ b) negative: __________ c) increasing: __________ d) decreasing: __________ © K12 Inc. 2. a) positive: __________ b) negative: __________ c) increasing: __________ d) decreasing: __________ © K12 Inc. 3. a) positive: __________ b) negative: __________ c) increasing: __________ d) decreasing: __________ © K12 Inc. Part II: Draw Your Own Graph
Follow the directions to draw the graph of a function that meets the description.
4. Draw the graph of a rational function that is positive for x < 2 and negative for x > 2 on the
coordinate plane below. © K12 Inc. 5. Draw the graph of a rational function that is increasing for x < –4 and decreasing for x > –4 on
the coordinate plane below. © K12 Inc.

Attachments:

• 1492661752-Positive and Negative Parts and Increasing and Decreasing Intervals.pdf