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A function is continuous everywhere. It is known that f' changes from positive to negative at a = r. Which of the following statement is true? O The function is increasing to the left of r and decreasing to the right of r. O The function is decreasing to the left of r, increasing to the right of r and has a horizontal tangent at r. O The function is increasing to the left of r, decreasing to the right of r and has a horizontal tangent at r. O The function is decreasing to the left of r and increasing to the right of r.

A function is continuous everywhere. It is known that f' changes from positive to negative at a = r. Which of the following statement is true? O The function is increasing to the left of r and decreasing to the right of r. O The function is decreasing to the left of r, increasing to the right of r and has a horizontal tangent at r. O The function is increasing to the left of r, decreasing to the right of r and has a horizontal tangent at r. O The function is decreasing to the left of r and increasing to the right of r.

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 function is continuous everywhere. It is known that f' changes from positive to negative at a =r. Which of the following statement is true? O The function is increasing to the left of r and decreasing to the right of r. O The function is decreasing to the left of r, increasing to the right of r and has a horizontal tangent at r. O The function is increasing to the left of r, decreasing to the right of r and has a horizontal tangent at r. O The function is decreasing to the left of rand increasing to the right of r.
Transcribed Image Text:A function is continuous everywhere. It is known that f' changes from positive to negative at a =r. Which of the following statement is true? O The function is increasing to the left of r and decreasing to the right of r. O The function is decreasing to the left of r, increasing to the right of r and has a horizontal tangent at r. O The function is increasing to the left of r, decreasing to the right of r and has a horizontal tangent at r. O The function is decreasing to the left of rand increasing to the right of r.
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