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

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
ChapterP: Prerequisites
Section: Chapter Questions
Problem 13E
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 \( (4, -4) \).
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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