-what is the second derivative of i (-1) when i(x) =x^2f(x) -What is the derivative of g(3) when g(x) = e^xf(x) - what is the derivative of h (-1) when h(x)= x^2/ f(x)

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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-what is the second derivative of i (-1) when i(x) =x^2f(x) -What is the derivative of g(3) when g(x) = e^xf(x) - what is the derivative of h (-1) when h(x)= x^2/ f(x)
The image displays a graph of the absolute value function, \( f(x) = |x| \).

### Description of the Graph:

- **Axes:**
  - The horizontal axis is labeled as \( x \).
  - The vertical axis is labeled as \( f(x) \).

- **Plot:**
  - The graph has a V-shape, originating at the point (0, 0), which is the vertex of the graph.
  - For \( x < 0 \), the graph is a straight line with a negative slope, moving downward from left to right. It reflects the linear function \( f(x) = -x \).
  - For \( x > 0 \), the graph is a straight line with a positive slope, moving upward from left to right, representing the linear function \( f(x) = x \).

- **Points and Intersections:**
  - The graph intersects the y-axis at the origin (0, 0).
  - It intersects the x-axis at two points: (-2, 2) and (2, 2), indicating the value of the absolute function as 2 in both directions.

This graphical representation highlights the basic characteristics of the absolute value function, showing how it reflects over the y-axis and demonstrates symmetry.
Transcribed Image Text:The image displays a graph of the absolute value function, \( f(x) = |x| \). ### Description of the Graph: - **Axes:** - The horizontal axis is labeled as \( x \). - The vertical axis is labeled as \( f(x) \). - **Plot:** - The graph has a V-shape, originating at the point (0, 0), which is the vertex of the graph. - For \( x < 0 \), the graph is a straight line with a negative slope, moving downward from left to right. It reflects the linear function \( f(x) = -x \). - For \( x > 0 \), the graph is a straight line with a positive slope, moving upward from left to right, representing the linear function \( f(x) = x \). - **Points and Intersections:** - The graph intersects the y-axis at the origin (0, 0). - It intersects the x-axis at two points: (-2, 2) and (2, 2), indicating the value of the absolute function as 2 in both directions. This graphical representation highlights the basic characteristics of the absolute value function, showing how it reflects over the y-axis and demonstrates symmetry.
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