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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 Value-4-2.5 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) x2-x1 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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