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Identify Relative Extrema and End Behavior
Worksheet
Grade Level
Pre-Calculus
Pre-CAL.19 Identify Relative Extrema and End Behavior
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Use the piecewise graph shown. Which statement accurately describes its extrema and end behavior?
A
Relative minimum at (-1, 3) and relative maximum at (3, -2); as x -> -infinity, f(x) -> -infinity, and as x -> infinity, f(x) -> infinity.
B
Relative maximum at (-1, 3) and relative minimum at (3, -2); as x -> -infinity, f(x) -> -infinity, and as x -> infinity, f(x) -> infinity.
C
Relative maximum at (-1, 3) and relative minimum at (3, -2); as x -> -infinity, f(x) -> infinity, and as x -> infinity, f(x) -> -infinity.
D
No relative extrema; as x -> -infinity, f(x) -> -infinity, and as x -> infinity, f(x) -> infinity.
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