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Graph Analysis: Comparing f(x) and g(x)

Understand differences between f(x) and g(x) with details on intercepts, asymptotes, extrema, and concavity intervals. The negative parts of g(x) reflect above the x-axis due to absolute value. Detailed sketch provided.

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Graph Analysis: Comparing f(x) and g(x)

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  1. AP Calculus AB Day 9 Section 3.6 Perkins

  2. Include intercepts, asymptotes, extrema, inflection points, and intervals of concavity. What’s the difference between f(x) and g(x)? Compare to The abs val makes all the negative parts of g(x) reflect above the x-axis. Sketch Rel min at (3, -4) Parabola opening upward (no asymptotes) Always concave up x-int y-int g(x)

  3. x-int: x = 1 and 5 y-int: y = 5 f(x) Rel max at (3, 4) Rel min at (1, 0) Rel min at (5, 0) Inf pts at (1, 0) and (5, 0)

  4. AP Calculus AB Day 9 Section 3.6 Perkins

  5. Include intercepts, asymptotes, extrema, inflection points, and intervals of concavity. Sketch

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