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MAT 150 – Class #20

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MAT 150 – Class #20

- Topics:
- Identify Graphs of Higher-Degree Polynomials Functions
- Graph Cubic and Quartic Functions
- Find Local Extrema and Absolute Extrema
- Modeling Cubic and Quartic Functions

- Higher-degree polynomials functions with degree ______________.

- Examples:

- Cubic Function
- Quartic Function

- In general, the graph of a polynomial function of degree n has _____________n x-intercepts.
- Local extremaPoints - ____________on these graphs
- Local minimum point- where the curve changes from ________________________
- Local Maximum point – Where the curve changes from _________________________

- Absolute Maximum Point – the ______________on the graph over an interval
- absolute minimum point – The ______________on the graph over an interval

- Using the appropriate window, graph .
- Find the local maximum and local minimum, if possible.
- Where is the absolute maximum of this function on the interval [0, 6]?

1

2

5

3

4

Use the given graph to graph to

- Estimate the x-intercepts
- Turning Points
- Positive or negative Coefficient
- Cubic or Quartic

Pg. 424-429

#1-2

#5-8 all

#11-16 all

#33-34

#41, 44, 46