{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

4.3_Polynomial_Inequalities_Lesson

# 4.3_Polynomial_Inequalities_Lesson - Lesson_.notebook 4.3...

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Lesson_SolvingPolyInequalities.notebook October 13, 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 13, 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 13, 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 ...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online