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A friend looks at the graph of y3x and observes that if you start at the origin, the graph increases whether you go to the right or the left, 50 the graph is increasing everywhere Explain why this reasoning is incorrect. Choose the eorrect answer below OA By the efinition of an increasing function, a function is increasing if f(x) (X>) whenever x, X When the friend looks at the graph to the left of 0, this definition is broken. Thus, the function is not increasing everywhere. O B. By the definition of an increasing function, a function is increasing if f(x,)X) whenever x,

A friend looks at the graph of y3x and observes that if you start at the origin, the graph increases whether you go to the right or the left, 50 the graph is increasing everywhere Explain why this reasoning is incorrect. Choose the eorrect answer below OA By the efinition of an increasing function, a function is increasing if f(x) (X>) whenever x, X When the friend looks at the graph to the left of 0, this definition is broken. Thus, the function is not increasing everywhere. O B. By the definition of an increasing function, a function is increasing if f(x,)X) whenever x,

Calculus: Early Transcendentals
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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A friend looks at the graph of y x and observes that if you start at the origin, the graph increases whether you go to the right or the left, 50 the graph is increasing everywhere Explain why this reasoning is incorrect. Choose the correct answer below O A. By the definition of an increasing function, a function is increasing if f(x) (X) whenever x, x When the friend looks at the graph to the left of 0, this definition is broken. Thus, the function is not increasing everywhere. O B. By the definition of an increasing function, a function is increasing if f(x,)X>) whenever x, <X When the friend iooks at the graph to the left of 0, this definition is broken. Thus, the function is not increasing everywhere. OC. By the definition of an increasing function, a function is increasing if 1(x,) <f(X2) whenever x, X When the friend looks at the graph to the left of 0, this definition is broken. Thus, the function is not increasing everywhere. O D. By the definition of an increasing function, a function is increasing if f(x,)<1(X)whenever x, X. When the friend looks at the graph to the left of 0, this definition is broken. Thus, the function is not increasing everywhere.
Transcribed Image Text:A friend looks at the graph of y x and observes that if you start at the origin, the graph increases whether you go to the right or the left, 50 the graph is increasing everywhere Explain why this reasoning is incorrect. Choose the correct answer below O A. By the definition of an increasing function, a function is increasing if f(x) (X) whenever x, x When the friend looks at the graph to the left of 0, this definition is broken. Thus, the function is not increasing everywhere. O B. By the definition of an increasing function, a function is increasing if f(x,)X>) whenever x, <X When the friend iooks at the graph to the left of 0, this definition is broken. Thus, the function is not increasing everywhere. OC. By the definition of an increasing function, a function is increasing if 1(x,) <f(X2) whenever x, X When the friend looks at the graph to the left of 0, this definition is broken. Thus, the function is not increasing everywhere. O D. By the definition of an increasing function, a function is increasing if f(x,)<1(X)whenever x, X. When the friend looks at the graph to the left of 0, this definition is broken. Thus, the function is not increasing everywhere.
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