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-6 -5 -4 -3 -2 -1 6 5 4 3 2 1 -1 -2 -3 -4 1 2 3 4 5 6 -5 --6- In the graph above the slope of the tangent at -1 is

-6 -5 -4 -3 -2 -1 6 5 4 3 2 1 -1 -2 -3 -4 1 2 3 4 5 6 -5 --6- In the graph above the slope of the tangent at -1 is

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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### Objective 1.7 This graph represents a parabola, which is a U-shaped curve on a coordinate plane. The graph is centered around the point (-1, -3) on the Cartesian plane. #### Graph Description: - **Axes:** The x-axis ranges from -6 to 6, and the y-axis ranges from -6 to 6. - **Curve:** The curve appears to be a standard parabola with the equation likely of the form \(y = ax^2 + bx + c\). It is symmetric with respect to its vertex. - **Vertex:** The vertex of the parabola is at approximately (-1, -3). - **Behavior:** The parabola opens upwards, indicating a positive quadratic term. #### Task: "In the graph above the slope of the tangent at -1 is __________." A blank space is provided for answering the question about the slope of the tangent to the curve at the x-coordinate -1. This exercise involves evaluating the derivative of the quadratic function at \(x = -1\) to determine the slope of the tangent line at that point.
Transcribed Image Text:### Objective 1.7 This graph represents a parabola, which is a U-shaped curve on a coordinate plane. The graph is centered around the point (-1, -3) on the Cartesian plane. #### Graph Description: - **Axes:** The x-axis ranges from -6 to 6, and the y-axis ranges from -6 to 6. - **Curve:** The curve appears to be a standard parabola with the equation likely of the form \(y = ax^2 + bx + c\). It is symmetric with respect to its vertex. - **Vertex:** The vertex of the parabola is at approximately (-1, -3). - **Behavior:** The parabola opens upwards, indicating a positive quadratic term. #### Task: "In the graph above the slope of the tangent at -1 is __________." A blank space is provided for answering the question about the slope of the tangent to the curve at the x-coordinate -1. This exercise involves evaluating the derivative of the quadratic function at \(x = -1\) to determine the slope of the tangent line at that point.
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