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Graph of a piecewise function with discontinuities and asymptotes.

Graph of a piecewise function with vertical asymptotes at x = -1 and x = 5, showing various segments including a cubic-like curve, a step function, and a linear segment with open and closed points.

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Show Answer Key & Explanations Step-by-step solution for: Limits and Continuity in Calculus — Practice Questions - dummies

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- Domain: $(-\infty, -1) \cup (-1, 5) \cup (5, \infty)$
- Range: $(-\infty, \infty)$
- x-intercepts: $x = 0$
- y-intercept: $y = 0$
- Intervals of increase: $(-1, 2)$, $(4, 5)$, $(5, 8)$, $(9, \infty)$
- Intervals of decrease: $(-\infty, -1)$, $(2, 3)$, $(8, 9)$
- Local maximum: $(2, 3)$
- Local minimum: $(3, 2)$
- Points of discontinuity: $x = -1$, $x = 5$
- Vertical asymptotes: $x = -1$, $x = 5$

Parent Tip: Review the logic above to help your child master the concept of limits and continuity practice problems.

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