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HomeNY Regents Algebra IIMathematicsGraphs of Polynomial Functions › A polynomial function has degree 7. What is the …

A polynomial function has degree 7. What is the largest number of turning points it can have?

ASeven turning points
BSix turning points
CEight turning points
DFive turning points
Answer & Solution
Correct answer: B. Six turning points
1. A turning point is where the graph changes from rising to falling or from falling to rising. 2. The largest number of turning points is always one less than the degree. 3. With degree 7 that gives 7 minus 1, which is 6. 4. Reading the degree itself as the answer would give 7, which is the ceiling on x-intercepts instead. _Source: OpenStax Precalculus (CC BY 4.0), section 3.4 Graphs of Polynomial Functions_
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