For -11 < a < 12 the function f is defined by f(x) = x²(x + 7)² On which two intervals is the function increasing (enter intervals in ascending order)? X = and X = to x = to x = Find the interval on which the function is positive: x = Where does the function achieve its absolute minimum? x = to x=
For -11 < a < 12 the function f is defined by f(x) = x²(x + 7)² On which two intervals is the function increasing (enter intervals in ascending order)? X = and X = to x = to x = Find the interval on which the function is positive: x = Where does the function achieve its absolute minimum? x = to x=
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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#7 3.3
![For \( -11 \leq x \leq 12 \) the function \( f \) is defined by \( f(x) = x^7 (x + 7)^2 \).
1. On which two intervals is the function increasing (enter intervals in ascending order)?
- \( x = \) [Input box] to \( x = \) [Input box]
- and
- \( x = \) [Input box] to \( x = \) [Input box]
2. Find the interval on which the function is positive:
- \( x = \) [Input box] to \( x = \) [Input box]
3. Where does the function achieve its absolute minimum?
- \( x = \) [Input box]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5dcb923f-db4b-41da-8c9f-f901564a203c%2Fe550bc54-30fe-4bc1-8b8f-db6be32a0ce8%2F6r4gc6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For \( -11 \leq x \leq 12 \) the function \( f \) is defined by \( f(x) = x^7 (x + 7)^2 \).
1. On which two intervals is the function increasing (enter intervals in ascending order)?
- \( x = \) [Input box] to \( x = \) [Input box]
- and
- \( x = \) [Input box] to \( x = \) [Input box]
2. Find the interval on which the function is positive:
- \( x = \) [Input box] to \( x = \) [Input box]
3. Where does the function achieve its absolute minimum?
- \( x = \) [Input box]
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