2. Let fx) = - 10 (x + 2 ) (x – 3)(x + 2)*. Do not use your calculator until part d. a. List the factors and the x-intercepts (zeros) of f(x). In the right column, circle either touch or passthrough describing what the graph will do at each x-intercept. appearance at x-intercept touch pass-through factor x-intercept at x = ? touch pass-through touch pass-through b. What are the degree and the leading coefficient? degree: leading coefficient: c. What are the end behaviors (up or down)? left end: right end: d. Now graph f(x) on your calculator. Adjust the window until you can see all of the features listed above. D Then, sketch the screen.
2. Let fx) = - 10 (x + 2 ) (x – 3)(x + 2)*. Do not use your calculator until part d. a. List the factors and the x-intercepts (zeros) of f(x). In the right column, circle either touch or passthrough describing what the graph will do at each x-intercept. appearance at x-intercept touch pass-through factor x-intercept at x = ? touch pass-through touch pass-through b. What are the degree and the leading coefficient? degree: leading coefficient: c. What are the end behaviors (up or down)? left end: right end: d. Now graph f(x) on your calculator. Adjust the window until you can see all of the features listed above. D Then, sketch the screen.
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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Transcribed Image Text:**2. Problem Description**
Let \( f(x) = -\frac{1}{10}(x + \frac{1}{2})^2(x - 3)(x + 2)^4 \). Note: Do not use your calculator until instructed in part d.
**a. Factor Listing and X-Intercepts**
List the factors and the x-intercepts (zeros) of \( f(x) \). In the right column, circle either "touch" or "pass-through" to describe the behavior of the graph at each x-intercept.
| Factor | x-intercept at \( x = \) | Appearance at x-intercept |
|--------------------|--------------------------|-----------------------------|
| | | touch pass-through |
| | | touch pass-through |
| | | touch pass-through |
**b. Degree and Leading Coefficient**
Determine the degree and leading coefficient of \( f(x) \).
- Degree: ______
- Leading Coefficient: ______
**c. End Behaviors**
Determine the end behaviors (direction) of the function.
- Left end: ______
- Right end: ______
**d. Graphing Instructions**
Now graph \( f(x) \) on your calculator. Adjust the window until you can see all of the features listed above. Then, sketch the screen in the provided space.
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