Positive and Negative Parts and Increasing and Decreasing Intervals

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Mathematics

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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. function is undefined at 1 x >1 a) positive: __________ x -2 b) negative: __________ x ≠ -2 c) increasing: __________ none d) decreasing: __________ © K12 Inc. 3. The function appears to be undefined for x=0. x≠0 a) positive: __________ none b) negative: __________ x0 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.
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