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Graphing Polynomials

Graphing Polynomials. Determine degree End behavior Number of Zeros Turning points Find the zeros and determine behavior at zero Find the y-intercept and a few other points.

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Graphing Polynomials

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  1. Graphing Polynomials • Determine degree • End behavior • Number of Zeros • Turning points • Find the zeros and determine behavior at zero • Find the y-intercept and a few other points

  2. The end behavior of a polynomial function’s graph is the behavior of the graph as x approaches infinity (+ ) or negative infinity (– ). The expression x+ is read as “x approaches positive infinity.” END BEHAVIOR

  3. What we already know • Think about the end behavior of the following

  4. Let’s Explore • Consider the following functions. • Degree 3 • Leading Coefficient 1 • Degree 3 • Leading Coefficient -2

  5. Let’s Explore • Consider the following functions. • Degree 4 • Leading Coefficient -3 • Degree 4 • Leading Coefficient1

  6. CONCEPT END BEHAVIOR FOR POLYNOMIAL FUNCTIONS SUMMARY LCdegx – x + > 0 even f(x) + f(x) +  > 0 odd f(x) – f(x) +  < 0 even f(x) – f(x) –  < 0 odd f(x) + f(x) –  END BEHAVIOR

  7. HOMEWORK 11/15 PAGE 354-356, 1-18 all,

  8. MULTIPLICITY x+3 is a factor of this polynomials. Graph the polynomial.

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