. Determine the behavior of the graph as x → 0 or x → -00. a. y = x'- 3x b. y = x - 2x? c. y = -x++ 3x² + 1 d. у%3D-х*+ 2х? -8

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.3: Applications Of Systems Of Linear Equations
Problem 41E
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II. Elementary Theorems on the Roots of an Equation (Part I)
5. Let f(x) = (x-1) (x+2)
a. What is the degree of f(x)
b. What are the roots and their multiplicity respectively.
III. Sketching Graphs of Polynomial Functions
6. Find the x-intercepts and determine whether the graph of the function
crosses the x-axis at each x-intercept, and sketch the graph.
a. f(x) = (x - 4)°(x + 3)
b. f(x) — (3х - 4)'(x - 3)(х+2)
|
7. Determine the behavior of the graph as x → o or x → -00.
a. y= x'- 3x
b. y = x* - 2x?
с. у%3-х*+ 3x? + 1
d. y = -x'+ 2x² -8
Transcribed Image Text:II. Elementary Theorems on the Roots of an Equation (Part I) 5. Let f(x) = (x-1) (x+2) a. What is the degree of f(x) b. What are the roots and their multiplicity respectively. III. Sketching Graphs of Polynomial Functions 6. Find the x-intercepts and determine whether the graph of the function crosses the x-axis at each x-intercept, and sketch the graph. a. f(x) = (x - 4)°(x + 3) b. f(x) — (3х - 4)'(x - 3)(х+2) | 7. Determine the behavior of the graph as x → o or x → -00. a. y= x'- 3x b. y = x* - 2x? с. у%3-х*+ 3x? + 1 d. y = -x'+ 2x² -8
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