4.3_Polynomial_Inequalities_Lesson.Oct.09 -...

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Unformatted text preview: Lesson_SolvingPolyInequalities.notebook October 15, 2009 4.3 Solving Polynomial Inequalities Example #1: Consider the function f(x) = (x – 3)(x + 5)(x + 2). (a) State the domain and range of f(x). (b) Find the real zeroes of f(x). (c) Graph the function. (d) Find the intervals where . There is a possible change of sign in a polynomial on either side of a real zero. Use the zeroes and the domain of the polynomial to determine the intervals where a polynomial function is positive and where it is negative. We can examine the possible sign changes without graphing the polynomial function by using a number line/factor table. 1 Lesson_SolvingPolyInequalities.notebook October 15, 2009 Example #2: Solve the following polynomial inequality algebraically: Check your solution by graphing. Example #3: Consider f(x) = x3 – 4x and g(x) = –x2 + 4. (a) Solve f(x) = g(x). (b) Solve 2 Lesson_SolvingPolyInequalities.notebook October 15, 2009 Example #4: Solve (4 – x2)(x2 – 3x + 2) < 0, and check by graphing. Assigned Work: page 225 #1a, 2, 3, 5, 6df, 7a, 10, 13 3 ...
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