Sketch the following curves using these procedures: 1. Find the points of intersection with the axes 2. Let the behavior of y for large values of x 3. Locate the points where y' = 0 and determine the critical points 4. Locate the points where y" = 0 and determine the points of infection 5. If necessary, plot a few additional points The polynomial curves are: y = x³ (6x2 – 15x + 10)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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A question about polynomial curves. Your help is greatly appreciated. Thank you so much!

Sketch the following curves using these procedures:
1. Find the points of intersection with the axes
2. Let the behavior of y for large values of x
3. Locate the points where y' = 0 and determine the critical points
4. Locate the points where y" = 0 and determine the points of infection
5. If necessary, plot a few additional points
The polynomial curves are:
y = x³ (6x2 – 15x + 10)
a*y = x(x² – 15a²)²
Transcribed Image Text:Sketch the following curves using these procedures: 1. Find the points of intersection with the axes 2. Let the behavior of y for large values of x 3. Locate the points where y' = 0 and determine the critical points 4. Locate the points where y" = 0 and determine the points of infection 5. If necessary, plot a few additional points The polynomial curves are: y = x³ (6x2 – 15x + 10) a*y = x(x² – 15a²)²
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