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) = -4x² + x4 (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. g(x) X -3 -1 0 1 3 (d) Draw a continuous curve through the points. g(x) -3 -2 -1 -3 40 20 -20 -40 g(x) 40 20 -20 1 2 2 3 3 X -3 -2 -1 -3 -2 -1 g(x) 40 20 -20 -40 g(x) 40 20 -20 1 2 2 3 3 X X
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) = -4x² + x4 (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. g(x) X -3 -1 0 1 3 (d) Draw a continuous curve through the points. g(x) -3 -2 -1 -3 40 20 -20 -40 g(x) 40 20 -20 1 2 2 3 3 X -3 -2 -1 -3 -2 -1 g(x) 40 20 -20 -40 g(x) 40 20 -20 1 2 2 3 3 X X
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.
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