College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.8: Solving Absolute Value Equations And Inequalities
Problem 3E
Related questions
Question
Please help me with letter "J".
![### Use the graph of the function \( f \) shown to the right to answer parts (a)-(n).
#### (f) For what values of \( x \) is \( f(x) > 0 \)?
\[ -12 < x < -2, 8 < x \leq 12 \]
(Type a compound inequality. Use a comma to separate answers as needed.)
#### (g) What is the domain of \( f \)?
The domain of \( f \) is \(\{x | -14 \leq x \leq 12\}\).
(Type a compound inequality.)
#### (h) What is the range of \( f \)?
The range of \( f \) is \(\{y | -4 \leq y \leq 6\}\).
(Type a compound inequality.)
#### (i) What are the x-intercept(s)?
\( x = -12, -2, 8 \)
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
#### (j) What are the y-intercept(s)?
\[ y = \ \]
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
### Graph Description:
The graph shows a function \( f \) plotted on a coordinate plane ranging from \( x = -14 \) to \( x = 12 \) and \( y = -8 \) to \( y = 8 \). Key points noted on the graph include:
- \( (-14, -4) \)
- \( (-12, 0) \)
- \( (-6, 6) \)
- \( (-4, 4) \)
- \( (-2, 0) \)
- \( (0, -2) \)
- \( (4, -4) \)
- \( (8, 0) \)
- \( (12, 4) \)
The curve appears smooth, with notable peaks at \( (-6, 6) \) and valleys at \( (4, -4) \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf87f2e5-9dc6-40a8-a671-7dc06cda6841%2Fb82ebd01-85b4-49e7-8405-b5015192952b%2Fki9eu1k_processed.png&w=3840&q=75)
Transcribed Image Text:### Use the graph of the function \( f \) shown to the right to answer parts (a)-(n).
#### (f) For what values of \( x \) is \( f(x) > 0 \)?
\[ -12 < x < -2, 8 < x \leq 12 \]
(Type a compound inequality. Use a comma to separate answers as needed.)
#### (g) What is the domain of \( f \)?
The domain of \( f \) is \(\{x | -14 \leq x \leq 12\}\).
(Type a compound inequality.)
#### (h) What is the range of \( f \)?
The range of \( f \) is \(\{y | -4 \leq y \leq 6\}\).
(Type a compound inequality.)
#### (i) What are the x-intercept(s)?
\( x = -12, -2, 8 \)
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
#### (j) What are the y-intercept(s)?
\[ y = \ \]
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
### Graph Description:
The graph shows a function \( f \) plotted on a coordinate plane ranging from \( x = -14 \) to \( x = 12 \) and \( y = -8 \) to \( y = 8 \). Key points noted on the graph include:
- \( (-14, -4) \)
- \( (-12, 0) \)
- \( (-6, 6) \)
- \( (-4, 4) \)
- \( (-2, 0) \)
- \( (0, -2) \)
- \( (4, -4) \)
- \( (8, 0) \)
- \( (12, 4) \)
The curve appears smooth, with notable peaks at \( (-6, 6) \) and valleys at \( (4, -4) \).
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