Unformatted text preview: tells us that a continuous function (graph can be drawn without raising the pencil from the paper) cannot change signs on an interval without having a zero in that interval. So the above partition values divide the xaxis into intervals on which the sign of f(x) CANNOT change. STEP 3 : Use the numbers found in STEP 2 to separate the real number line into intervals. We will construct a sign chart for the function f(x). STEP 4 : Determine the sign of f(x) on the intervals found in step 3. STEP 5 : The solution of the inequality includes all intervals with the correct sign (positive or negative). If the inequality is not strict , include the numbers at which f (x) is zero in the solution set. Be careful: The numbers which make f(x) undefined (i.e., the zeroes of the denominator in a rational function) are never included in the solution set....
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 Fall '11
 Kutter
 Algebra, Inequalities, partition values

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