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Consider the curve y = x² + 3x +5. Find the slope of the secant line at the point where x = 9. Oh +0 O 12 9 21

Consider the curve y = x² + 3x +5. Find the slope of the secant line at the point where x = 9. Oh +0 O 12 9 21

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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### Calculus Problem: Finding the Slope of the Secant Line #### Problem Statement Consider the curve \( y = x^2 + 3x + 5 \). Find the slope of the secant line at the point where \( x = 9 \). #### Multiple Choice Options - ( ) \( h + 0 \) - ( ) \( 12 \) - ( ) \( 0 \) - ( ) \( 9 \) - (•) \( 21 \) #### Explanation: The correct answer is \( 21 \). To find the slope of the secant line at a given point on a curve, you may need to use the difference quotient or evaluate the change in \( y \) coordinates over the change in \( x \) coordinates at two points on the curve. The function here is a quadratic function, and the concepts of slopes and secants are foundational in understanding the behavior of such curves in calculus.
Transcribed Image Text:### Calculus Problem: Finding the Slope of the Secant Line #### Problem Statement Consider the curve \( y = x^2 + 3x + 5 \). Find the slope of the secant line at the point where \( x = 9 \). #### Multiple Choice Options - ( ) \( h + 0 \) - ( ) \( 12 \) - ( ) \( 0 \) - ( ) \( 9 \) - (•) \( 21 \) #### Explanation: The correct answer is \( 21 \). To find the slope of the secant line at a given point on a curve, you may need to use the difference quotient or evaluate the change in \( y \) coordinates over the change in \( x \) coordinates at two points on the curve. The function here is a quadratic function, and the concepts of slopes and secants are foundational in understanding the behavior of such curves in calculus.
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