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Checking Basic Concepts
Sections 4.1 and 4.2
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Checking Basic Concepts
1. Graph .
- Identify any local extrema.
- Find any absolute extrema.
- Approximate the zeros of f.
2. Make a table of   starting at x=-5, incrementing by 1.
- Is f an odd or even function? Graph f in
[-9, 9, 1] by [-6, 6, 1] to support your answer.
- Find the domain and range of f.
3. Sketch graphs of cubic polynomials with negative leading coefficients or 1, 2, or 3 x-intercepts.
4. Plot the data in the accompanying table.

- What minimum degree polynomial function f would be needed to model this data? Explain.
- Should function f be odd, even, or neither? Explain.
- Should the leading coefficient of f be positive or negative? Explain.
5. Use least-squares regression to find a polynomial that models the data in Exercise 4.
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