Determine the interval(s) for which the function shown below is decreasing. -8-7-6-5-4-3-2 8 7. 6 y A 6- 5- 4 3 2 1 -1 0 12. -3- -4 -5 -6 -7 2 3 4 5 6 7 8 2
Determine the interval(s) for which the function shown below is decreasing. -8-7-6-5-4-3-2 8 7. 6 y A 6- 5- 4 3 2 1 -1 0 12. -3- -4 -5 -6 -7 2 3 4 5 6 7 8 2
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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Determine
![**Determine the interval(s) for which the function shown below is decreasing.**
The graph displays a parabola with its vertex at the point (0, 5) on the Cartesian plane. This is a downward-opening parabola. The function is decreasing on the interval as the x-values move away from the vertex towards both directions on the x-axis.
- **Decreasing Interval:** The function is decreasing where the slope of the tangent is negative. In this graph, the parabola decreases on the interval:
\[
(-\infty, 0) \cup (0, \infty)
\]
This means that the function decreases as it moves from left toward the vertex at x = 0, and again after passing the vertex moving rightward.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F97314412-6cad-47ed-acdb-345d55b34cb5%2F90759b88-4624-428c-9838-dedcf6fedb43%2F37dzns_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Determine the interval(s) for which the function shown below is decreasing.**
The graph displays a parabola with its vertex at the point (0, 5) on the Cartesian plane. This is a downward-opening parabola. The function is decreasing on the interval as the x-values move away from the vertex towards both directions on the x-axis.
- **Decreasing Interval:** The function is decreasing where the slope of the tangent is negative. In this graph, the parabola decreases on the interval:
\[
(-\infty, 0) \cup (0, \infty)
\]
This means that the function decreases as it moves from left toward the vertex at x = 0, and again after passing the vertex moving rightward.
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