Consider the function y=x³ - 9x + 4. a. Sketch the graph of y= x³ – 9x + 4. b. Find and describe the slopes of the lines tangent at the following points. 1. (1,-4) 2. (2, -11¹) 3. (3, -14) 4. (4, -103) 5. (5,-) c. Based on the slopes, determine the maximum and minimum point.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 41E
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Consider the function y=x³ - 9x + 4.
a. Sketch the graph of y= x³ – 9x + 4.
b. Find and describe the slopes of the lines tangent at the following
points.
1. (1,-4)
2. (2, -11)
3. (3, -14)
4. (4, -103)
5. (5,-)
c. Based on the slopes, determine the maximum and minimum point.
Transcribed Image Text:Consider the function y=x³ - 9x + 4. a. Sketch the graph of y= x³ – 9x + 4. b. Find and describe the slopes of the lines tangent at the following points. 1. (1,-4) 2. (2, -11) 3. (3, -14) 4. (4, -103) 5. (5,-) c. Based on the slopes, determine the maximum and minimum point.
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