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The graph of function f(x) is shown below. At which value of a is the derivative of the function equal to -4? 5 4 2 1 2 -1 2-1 4. N 3. 2. 3.

The graph of function f(x) is shown below. At which value of a is the derivative of the function equal to -4? 5 4 2 1 2 -1 2-1 4. N 3. 2. 3.

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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**Transcription for Educational Website:** The graph of function \( f(x) \) is shown below. At which value of \( x \) is the derivative of the function equal to \(-4\)? **Graph Description:** - The graph displays a parabola that opens upwards. - The vertex of the parabola is located at approximately \((1, 1)\). - The parabola is symmetric about the vertical line \(x = 1\). - The graph passes through points approximately \((-1, 4)\), \((3, 4)\), and \((1, 1)\). - The grid is marked with horizontal and vertical lines at intervals of 1 unit. To determine when the derivative \( f'(x) \) equals \(-4\), observe the slope of the tangent line to the curve. At the point where the slope is \(-4\), the derivative of the function has this value. This occurs on the left side of the vertex, likely between \(x = 0\) and \(x = -1\).
Transcribed Image Text:**Transcription for Educational Website:** The graph of function \( f(x) \) is shown below. At which value of \( x \) is the derivative of the function equal to \(-4\)? **Graph Description:** - The graph displays a parabola that opens upwards. - The vertex of the parabola is located at approximately \((1, 1)\). - The parabola is symmetric about the vertical line \(x = 1\). - The graph passes through points approximately \((-1, 4)\), \((3, 4)\), and \((1, 1)\). - The grid is marked with horizontal and vertical lines at intervals of 1 unit. To determine when the derivative \( f'(x) \) equals \(-4\), observe the slope of the tangent line to the curve. At the point where the slope is \(-4\), the derivative of the function has this value. This occurs on the left side of the vertex, likely between \(x = 0\) and \(x = -1\).
**Question:** Select the correct answer below: - \( \bigcirc \) \( x = -1 \) - \( \bigcirc \) \( x = 0 \) - \( \bigcirc \) \( x = 1 \) - \( \bigcirc \) \( x = 2 \) - \( \bigcirc \) \( x = 3 \)
Transcribed Image Text:**Question:** Select the correct answer below: - \( \bigcirc \) \( x = -1 \) - \( \bigcirc \) \( x = 0 \) - \( \bigcirc \) \( x = 1 \) - \( \bigcirc \) \( x = 2 \) - \( \bigcirc \) \( x = 3 \)
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