Domain: 4 (1). For the function f(x)=- X Find each of the following (if they exist). Show the work yielding your answers: x-intercept(s): y-intercept(s): 2 Horizontal Asymptote.__ +3 Vertical Asymptotes, and limit approaching the vertical asymptote from each side.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 35E
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### Calculus Problem Set

#### (1). For the function \( f(x) = \frac{4}{x^2} - \frac{2}{x} + 3 \)

**Find each of the following (if they exist). Show the work yielding your answers:**

**Domain:**  
________________

**x-intercept(s):**  
________________

**y-intercept(s):**  
________________

**Vertical Asymptotes, and limit approaching the vertical asymptote from each side.**  
________________

**Horizontal Asymptote:**  
________________

**Points on the graph corresponding to local extrema (max or min?):**  
________________

**Inflection Points:**  
________________

---

**Graph:**

The graph below is a Cartesian coordinate system grid with coordinates ranging from -7 to 13 on the x-axis and -8 to 8 on the y-axis with grid lines at intervals of 1 unit. This grid can be used to plot the function and analyze its properties:

\[ \begin{array}{c|cccccccccccccccccc} 
y & : &   &   &   &   &   &   &   & \uparrow &   &   &   &   &   &   &   &   &   &   \\ 
7 & : & . & . & . & . & . & . & . & . & . & . & . & . & . & . & . & . & . &   \\ 
6 & : & . & . & . & . & . & . & . & . & . & . & . & . & . & . & . & . & . &   \\ 
5 & : & . & . & . & . & . & . & . & . & . & . & . & . & . & . & . & . & . &   \\ 
4 & : & . & . & . & . & . & . & . & . & . & . & . & . & . & . & . & . & . &   \\ 
3 & : & . & . & . & . & . & . & . & . & . & . & . & . & . & . & . & . & . &   \\ 
2 & : & . & . & . & . & . & . & . & . & . & . & . & . & . & . &
Transcribed Image Text:### Calculus Problem Set #### (1). For the function \( f(x) = \frac{4}{x^2} - \frac{2}{x} + 3 \) **Find each of the following (if they exist). Show the work yielding your answers:** **Domain:** ________________ **x-intercept(s):** ________________ **y-intercept(s):** ________________ **Vertical Asymptotes, and limit approaching the vertical asymptote from each side.** ________________ **Horizontal Asymptote:** ________________ **Points on the graph corresponding to local extrema (max or min?):** ________________ **Inflection Points:** ________________ --- **Graph:** The graph below is a Cartesian coordinate system grid with coordinates ranging from -7 to 13 on the x-axis and -8 to 8 on the y-axis with grid lines at intervals of 1 unit. This grid can be used to plot the function and analyze its properties: \[ \begin{array}{c|cccccccccccccccccc} y & : & & & & & & & & \uparrow & & & & & & & & & & \\ 7 & : & . & . & . & . & . & . & . & . & . & . & . & . & . & . & . & . & . & \\ 6 & : & . & . & . & . & . & . & . & . & . & . & . & . & . & . & . & . & . & \\ 5 & : & . & . & . & . & . & . & . & . & . & . & . & . & . & . & . & . & . & \\ 4 & : & . & . & . & . & . & . & . & . & . & . & . & . & . & . & . & . & . & \\ 3 & : & . & . & . & . & . & . & . & . & . & . & . & . & . & . & . & . & . & \\ 2 & : & . & . & . & . & . & . & . & . & . & . & . & . & . & . &
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ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage