SOLUTION The y-intercept is f(0) = (-3) and the x-intercepts are found by setting y = 0: x = 3, 1, Notice that since (x - 3)4 is positive, the function doesn't change sign at 3; thus the graph doesn't cross the x-axis at 3. The graph crosses the axis at -1 and When x is large positive, all three factors are positive, so lim (x - 3)4(x + 1)(x - 1) - o, X+ 00 When x is large negative, the first factor is large positive and the second and third factors are both large negative so lim (x - 3)*(x + 1) (x - 1) = co, Combining this information, we give a rough sketch of the graph in the figure below.

SOLUTION The y-intercept is f(0) = (-3) and the x-intercepts are found by setting y = 0: x = 3, 1, Notice that since (x - 3)4 is positive, the function doesn't change sign at 3; thus the graph doesn't cross the x-axis at 3. The graph crosses the axis at -1 and When x is large positive, all three factors are positive, so lim (x - 3)4(x + 1)(x - 1) - o, X+ 00 When x is large negative, the first factor is large positive and the second and third factors are both large negative so lim (x - 3)*(x + 1) (x - 1) = co, Combining this information, we give a rough sketch of the graph in the figure below.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 23SE: For the following exercises, consider the graph shown in Figure 16. Estimate the point(s) at which...

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