Consider the intersection of a linear function f(x) = mx + b and a third degree polynomial function, P(x) = a3x3 + a2x2 + a,x + ao . Which of the following statements is false?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the intersection of a linear function f(x) = mx + b and a third degree
polynomial function, P(x) = a3x3 + a2x2 + a,x + ao . Which of the following
statements is false?
Select one:
a. It is possible that the graphs of the two functions do not intersect at all
b. It is possible that the graphs of the two functions intersect in exactly
one point
c. It is possible that the graphs of the two functions cross in one point and
touch in another without crossing
d. It is possible that the graphs of the two functions intersect in exactly
three points
Transcribed Image Text:Consider the intersection of a linear function f(x) = mx + b and a third degree polynomial function, P(x) = a3x3 + a2x2 + a,x + ao . Which of the following statements is false? Select one: a. It is possible that the graphs of the two functions do not intersect at all b. It is possible that the graphs of the two functions intersect in exactly one point c. It is possible that the graphs of the two functions cross in one point and touch in another without crossing d. It is possible that the graphs of the two functions intersect in exactly three points
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