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- Collect like terms where needed, then give the leading term of each polynomial and describe its end behavior in arrow notation.p(x) = 7 + 2x^2 - 6x^3p(x) = x^3(4 - x)^2 - x^5p(x) = (2x + 1)^3 - 8x^3p(x) = 9 - x^4 + \dfrac{1}{2}x^5
- Let $p
- Decide whether a polynomial with the description exists.
- A point where two graphs meet is a solution of the equation that sets the two rules equal.
- Each graph A to D is the graph of one of these polynomials.
- −4 −2 2 −6 −4 2 4 x y The graph of a polynomial p is shown.
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Degree, end behavior and the shape of a polynomial graph: the lesson ›More Chapter 1 worksheets: Functions in depth: rate of change, end behavior and asymptotes
- 1.1Degree, end behavior and the shape of a polynomial graph
- 1.2Graphing polynomial functions
- 1.3Graphing rational functions
- 1.4The difference quotient
- 1.5Rates at an instant from shrinking intervals
- 1.6Concavity: when the rate of change itself changes
- 1.7Slant asymptotes
- 1.8Polynomial and rational inequalities with sign charts