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Unformatted text preview: • Look at the sign of the polynomial in each of the intervals created at these roots • The solution is determined by the interval(s) that satisfy the inequality given in the question • Using a number line, graph, or a factor table to determine the intervals on which the polynomial is positive or negative. o Example: Say you have (x + 3) (x  3) (x + 2) > 0, the factor table will look like: Intervals (, 3) (3, 2) (2, 3) (3, ) Test Value42.5 1 4 (x + 3) + + + (x – 3) + + (x + 2) + Sign of f(x) + + x (3, 2) U (3, ) 4.4 – Rates of Change in Polynomial Functions The average rate of change of a polynomial function y = f(x) on the interval from x1 ≤ x ≤ x2 is: AROC=f(x2)f(x1) x2x1 ◦ This allows you to find the slope of the secant The instantaneous rate of change of a polynomial y=f(x) at x=a can be found with the IROC or difference quotient formula ◦ IROC= f(a+h) – f(a) h ◦ This allows you to find the slope of the tangent...
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 Spring '11
 sda
 Factor Theorem, Equations, Derivative, Transformations, Inequalities, Elementary algebra, Negative and nonnegative numbers, Solving Linear Inequalities

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