Use the graph of y = f(x) to answer the question. For what values of x is f(x) ≤0? -17 (-2,3) (-4,-3) (0,0) (9,0) y = f(x) (4,-3) (11,2) (5,-1) (8,-1) (13,0) 17X C The set of x-values for which f(x) ≤0 is (Simplify your answer. Type your answer in interval notation. Use integers or fractions for any numbers in the expression.)
Use the graph of y = f(x) to answer the question. For what values of x is f(x) ≤0? -17 (-2,3) (-4,-3) (0,0) (9,0) y = f(x) (4,-3) (11,2) (5,-1) (8,-1) (13,0) 17X C The set of x-values for which f(x) ≤0 is (Simplify your answer. Type your answer in interval notation. Use integers or fractions for any numbers in the expression.)
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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![**Use the graph of \( y = f(x) \) to answer the question. For what values of \( x \) is \( f(x) \leq 0 \)?**
*Graph Description and Analysis:*
The graph provided is of the function \( y = f(x) \) plotted on a Cartesian coordinate system, with the horizontal axis representing \( x \) and the vertical axis representing \( y \). The graph of \( y = f(x) \) is shown in red.
Key points on the graph:
- Intersection points with the x-axis (where \( f(x) = 0 \)): \( x = -\frac{7}{2} \), \( x = 0 \), \( x = 9 \), and \( x = 13 \).
- Various other points labeled for reference: \( (-4, -3) \), \( (2, -5) \), \( (4, -3) \), \( (5, -1) \), \( (8, -1) \), \( (11, 2) \), and \( (13, 0) \).
Regions on the graph where \( y \leq 0 \):
- From \( x = -\infty \) to \( x = -\frac{7}{2} \)
- From \( x = 0 \) to \( x = 9 \)
- From \( x = 13 \) to \( x = \infty \)
*Mathematical Formulation:*
To find the set of \( x \)-values for which \( f(x) \leq 0 \), identify the intervals where the graph of \( y = f(x) \) is on or below the x-axis.
Using interval notation, we need to consider:
- the leftmost segment up to the first zero,
- the segment from the second zero to the third zero,
- and the rightmost segment starting from the last zero point moving to positive infinity.
Thus, the set of \( x \)-values for which \( f(x) \leq 0 \) is:
\[ \left( -\infty, -\frac{7}{2} \right] \cup [0, 9] \cup [13, \infty) \]
To input this answer:
**The set of \( x \)-values for which \( f(x) \leq 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd5c1f0d4-7408-4361-a2b7-403007286980%2F6a4032b2-d067-4eb5-a554-b74284b1be6e%2Fovsn0eq9_processed.png&w=3840&q=75)
Transcribed Image Text:**Use the graph of \( y = f(x) \) to answer the question. For what values of \( x \) is \( f(x) \leq 0 \)?**
*Graph Description and Analysis:*
The graph provided is of the function \( y = f(x) \) plotted on a Cartesian coordinate system, with the horizontal axis representing \( x \) and the vertical axis representing \( y \). The graph of \( y = f(x) \) is shown in red.
Key points on the graph:
- Intersection points with the x-axis (where \( f(x) = 0 \)): \( x = -\frac{7}{2} \), \( x = 0 \), \( x = 9 \), and \( x = 13 \).
- Various other points labeled for reference: \( (-4, -3) \), \( (2, -5) \), \( (4, -3) \), \( (5, -1) \), \( (8, -1) \), \( (11, 2) \), and \( (13, 0) \).
Regions on the graph where \( y \leq 0 \):
- From \( x = -\infty \) to \( x = -\frac{7}{2} \)
- From \( x = 0 \) to \( x = 9 \)
- From \( x = 13 \) to \( x = \infty \)
*Mathematical Formulation:*
To find the set of \( x \)-values for which \( f(x) \leq 0 \), identify the intervals where the graph of \( y = f(x) \) is on or below the x-axis.
Using interval notation, we need to consider:
- the leftmost segment up to the first zero,
- the segment from the second zero to the third zero,
- and the rightmost segment starting from the last zero point moving to positive infinity.
Thus, the set of \( x \)-values for which \( f(x) \leq 0 \) is:
\[ \left( -\infty, -\frac{7}{2} \right] \cup [0, 9] \cup [13, \infty) \]
To input this answer:
**The set of \( x \)-values for which \( f(x) \leq 0
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