of the following statements I. Let f and g be continuous real variable functions defined over the interval I and C the subset of the plane given by C={(x,y): x=f(t),y=g(t); where t ∈ I} then the relation given by C(t)= (f(t) , g(t)) is a function. II. Every curve in the plane can be defined as a function of a real variable. III. The graph of the function r= 4 / (2sinθ+cosθ) corresponds to a straight line.

Calculus: Early Transcendentals
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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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of the following statements

I. Let f and g be continuous real variable functions defined over the interval I and C the subset of the plane given by C={(x,y): x=f(t),y=g(t); where t ∈ I} then the relation given by C(t)= (f(t) , g(t)) is a function.

II. Every curve in the plane can be defined as a function of a real variable.

III. The graph of the function r= 4 / (2sinθ+cosθ) corresponds to a straight line.

Which ones are true or false?
 
 
 
 
 
 
 
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