Find f(0) f(0) =

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The image contains mathematical exercises related to evaluating functions and finding zeros. Below is a transcription suitable for an educational website:

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### Exercise 1: Evaluate the Function at a Specific Point

**Find \( f(0) \)**

\( f(0) = \)

[ Text Box for Answer Input ]

[Submit Answer] Tries 0/99

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### Exercise 2: Evaluate the Function at Another Point

**Find \( f(2) \)**

\( f(2) = \)

[ Text Box for Answer Input ]

[Submit Answer] Tries 0/99

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### Exercise 3: Find the Zeros of the Function

**Find the zeros of the function (the \( x \)-values that make \( f(x) = 0 \)).**

- If you have more than one answer, separate them with a comma.
- If none exist, type **none**.

\( f(x) = 0 \) when \( x = \)

[ Text Box for Answer Input ]

[Submit Answer] Tries 0/99

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Transcribed Image Text:The image contains mathematical exercises related to evaluating functions and finding zeros. Below is a transcription suitable for an educational website: --- ### Exercise 1: Evaluate the Function at a Specific Point **Find \( f(0) \)** \( f(0) = \) [ Text Box for Answer Input ] [Submit Answer] Tries 0/99 --- ### Exercise 2: Evaluate the Function at Another Point **Find \( f(2) \)** \( f(2) = \) [ Text Box for Answer Input ] [Submit Answer] Tries 0/99 --- ### Exercise 3: Find the Zeros of the Function **Find the zeros of the function (the \( x \)-values that make \( f(x) = 0 \)).** - If you have more than one answer, separate them with a comma. - If none exist, type **none**. \( f(x) = 0 \) when \( x = \) [ Text Box for Answer Input ] [Submit Answer] Tries 0/99 ---
The image displays a graph of a mathematical function, specifically the graph of \(y = \tan(x)\) over a portion of its domain.

**Graph Analysis:**

- **Axes:**
  - The horizontal axis (x-axis) is labeled with values ranging from -4 to 6.
  - The vertical axis (y-axis) is marked with values from -4 to 4.
  
- **Function Characteristics:**
  - The graph shows a segment of the tangent function, which is periodic and has vertical asymptotes where the function is undefined.
  - The key characteristic of the tangent function is its steep incline, shown here from left to right.
  - Noticeable is the steep increase of the function around \(x = 0\) where the values rise sharply.
  
- **Behavior:**
  - Around \(x = -1.5\) and \(x = 1.5\), the function displays rapid changes, indicating the function’s approach to vertical asymptotes that typically occur at odd multiples of \(\frac{\pi}{2}\).
  - The curve crosses the origin (0,0), indicating a point of zero passage.

The tangent function is an odd function, meaning it is symmetric about the origin, which is depicted here as the curve expands both negatively and positively over the x-axis with continuity until reaching its asymptotic points.
Transcribed Image Text:The image displays a graph of a mathematical function, specifically the graph of \(y = \tan(x)\) over a portion of its domain. **Graph Analysis:** - **Axes:** - The horizontal axis (x-axis) is labeled with values ranging from -4 to 6. - The vertical axis (y-axis) is marked with values from -4 to 4. - **Function Characteristics:** - The graph shows a segment of the tangent function, which is periodic and has vertical asymptotes where the function is undefined. - The key characteristic of the tangent function is its steep incline, shown here from left to right. - Noticeable is the steep increase of the function around \(x = 0\) where the values rise sharply. - **Behavior:** - Around \(x = -1.5\) and \(x = 1.5\), the function displays rapid changes, indicating the function’s approach to vertical asymptotes that typically occur at odd multiples of \(\frac{\pi}{2}\). - The curve crosses the origin (0,0), indicating a point of zero passage. The tangent function is an odd function, meaning it is symmetric about the origin, which is depicted here as the curve expands both negatively and positively over the x-axis with continuity until reaching its asymptotic points.
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