Sketch the graph of the function by applying the Leading Coefficient Test, finding the real zeros of the polynomial, plotting sufficient solution points, and drawing a continuous curve through the points. 9(x) = x + 2)?(x – 4)3 (a) Apply the Leading Coefficient Test. O The graph of the function rises to the left and rises to the right. O The graph of the function rises to the left and falls to the right. O The graph of the function falls to the left and rises to the right. O The graph of the function falls to the left and falls to the right. (b) Find the real zeros of the polynomial. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) (c) Plot sufficient solution points. (Round your answers to one decimal place.) g(x) -2 -1 1 2

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 47PS
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Sketch the graph of the function by applying the Leading Coefficient Test, finding the real zeros of the polynomial, plotting sufficient solution points, and drawing a continuous curve through the points.
g(x) = (x + 2)2(x – 4)3
(a) Apply the Leading Coefficient Test.
O The graph of the function rises to the left and rises to the right.
O The graph of the function rises to the left and falls to the right.
O The graph of the function falls to the left and rises to the right.
O The graph of the function falls to the left and falls to the right.
(b) Find the real zeros of the polynomial. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
X =
(c) Plot sufficient solution points. (Round your answers to one decimal place.)
g(x)
-2
-1
1
2
3
Transcribed Image Text:Sketch the graph of the function by applying the Leading Coefficient Test, finding the real zeros of the polynomial, plotting sufficient solution points, and drawing a continuous curve through the points. g(x) = (x + 2)2(x – 4)3 (a) Apply the Leading Coefficient Test. O The graph of the function rises to the left and rises to the right. O The graph of the function rises to the left and falls to the right. O The graph of the function falls to the left and rises to the right. O The graph of the function falls to the left and falls to the right. (b) Find the real zeros of the polynomial. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) X = (c) Plot sufficient solution points. (Round your answers to one decimal place.) g(x) -2 -1 1 2 3
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