The figure below shows the derivative f' of f. f ' (x) 4 10 + x मुंह 2 6 8 12 (a) Choose all intervals where f is increasing. [7, 12] [4, 10] [10, 12] [0, 4] [0, 7]

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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## Exercise: Analyzing Function Behavior

### (b) Choose all intervals where \( f \) is decreasing.

- [ ] [7, 12]
- [ ] [0, 4]
- [ ] [10, 12]
- [ ] [0, 7]
- [ ] [4, 10]

(eTextbook and Media)

---

### (c) What are the \( x \)-coordinates of the local maxima and minima of \( f \)?

Enter your answers in increasing order of \( x \)-coordinate.

The function \( f \) has a local [dropdown: maxima/minima] at \( x = \) [input box] and a local [dropdown: maxima/minima] at \( x = \) [input box].
Transcribed Image Text:## Exercise: Analyzing Function Behavior ### (b) Choose all intervals where \( f \) is decreasing. - [ ] [7, 12] - [ ] [0, 4] - [ ] [10, 12] - [ ] [0, 7] - [ ] [4, 10] (eTextbook and Media) --- ### (c) What are the \( x \)-coordinates of the local maxima and minima of \( f \)? Enter your answers in increasing order of \( x \)-coordinate. The function \( f \) has a local [dropdown: maxima/minima] at \( x = \) [input box] and a local [dropdown: maxima/minima] at \( x = \) [input box].
**The figure below shows the derivative \( f' \) of \( f \).**

### Graph Explanation:
The graph depicts \( f'(x) \) along the \( y \)-axis and the variable \( x \) along the \( x \)-axis. The curve starts below the x-axis, crosses it, peaks, and then decreases, passing back through the axis, creating a sinusoidal-like wave form. Key points on the x-axis are marked at 2, 4, 6, 8, 10, and 12.

### Question (a):
**Choose all intervals where \( f \) is increasing.**

- [ ] [7, 12]
- [ ] [4, 10]
- [ ] [10, 12]
- [ ] [0, 4]
- [ ] [0, 7]
Transcribed Image Text:**The figure below shows the derivative \( f' \) of \( f \).** ### Graph Explanation: The graph depicts \( f'(x) \) along the \( y \)-axis and the variable \( x \) along the \( x \)-axis. The curve starts below the x-axis, crosses it, peaks, and then decreases, passing back through the axis, creating a sinusoidal-like wave form. Key points on the x-axis are marked at 2, 4, 6, 8, 10, and 12. ### Question (a): **Choose all intervals where \( f \) is increasing.** - [ ] [7, 12] - [ ] [4, 10] - [ ] [10, 12] - [ ] [0, 4] - [ ] [0, 7]
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