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M3-028-A06-V02
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F-IF.9
Warmup
M3-028-A06-V02
Compare functions represented algebraically, graphically, numerically, or verbally.
Compare extrema and turning behavior in parallel
Problem
Compare a sinusoid with representative maximum \((1,5)\),representative minimum \((4,-1)\),and repeating extrema; a downward polynomial with \(\text{single}~\text{maximum}\) \((-2,4)\).
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A
The sinusoid has representative maximum 5 and minimum −1 that repeat periodically, while the downward polynomial has a single listed minimum 4. The sinusoid’s maximum is greater and its extrema repeat.
B
The sinusoid has representative maximum −1 and minimum 5 that repeat periodically, while the downward polynomial has a single listed maximum 4. The sinusoid’s maximum is greater and its extrema repeat.
C
The sinusoid has representative maximum 5 and minimum −1 that repeat periodically, while the downward polynomial has a single listed maximum 4. The sinusoid’s maximum is greater and its extrema do not repeat.
D
The sinusoid has representative maximum 5 and minimum −1 that repeat periodically, while the downward polynomial has a single listed maximum 4. The sinusoid’s maximum is greater and its extrema repeat.
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Curriculum context
Standard F-IF.9
Category Functions
Domain Interpreting Functions
Objective Compare functions represented algebraically, graphically, numerically, or verbally.
Problem type Compare extrema and turning behavior in parallel
