Given a graph of the relationship k determine whether the following statements are true or false. y=k{x} -3+ Select an answer k is a function. -1 Select an answer k exists and is a function. Given the table of values for the function g , determine whether the following statements are true or false. -1 01 1.5 233.5 g(z) 18 8 2 0.5 0 2 4.5 Select an answer g is a function. Select an answer exists and is a function. 2. 2.

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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**Understanding Functions and Their Properties: An Educational Guide**

---

### Graph Analysis

Given a graph of the relationship \( k \), determine whether the following statements are true or false.

![Graph of y=k(x)](image url)

**Description of Graph:**
- The x-axis ranges from -3 to 3.
- The y-axis ranges from -3 to 3.
- The graph shows the function \( y = k(x) \).
- It passes through the points approximately at (-3, -2), (-2, -1), (-1, 0), (0, 1), (1, 2), and (2, 3).

**True or False Statements:**

- \( k \) is a function.
  - [Select an answer]
- \( k^{-1} \) exists and is a function.
  - [Select an answer]

### Table Analysis

Given the table of values for the function \( g \), determine whether the following statements are true or false.

| \( x \) | -1 | 0 | 1.5 | 2 | 3.5 |
|---|---|---|---|---|---|
| \( g(x) \) | 18 | 8 | 0.5 | 0 | 4.5 |

**True or False Statements:**

- \( g \) is a function.
  - [Select an answer]
- \( g^{-1} \) exists and is a function.
  - [Select an answer]

---

**Note:** This guide aims to help students understand the basic properties and analyses of mathematical functions and their inverses through graphical and tabular data. Ensure to review each statement and answer based on the defined properties of functions.
Transcribed Image Text:**Understanding Functions and Their Properties: An Educational Guide** --- ### Graph Analysis Given a graph of the relationship \( k \), determine whether the following statements are true or false. ![Graph of y=k(x)](image url) **Description of Graph:** - The x-axis ranges from -3 to 3. - The y-axis ranges from -3 to 3. - The graph shows the function \( y = k(x) \). - It passes through the points approximately at (-3, -2), (-2, -1), (-1, 0), (0, 1), (1, 2), and (2, 3). **True or False Statements:** - \( k \) is a function. - [Select an answer] - \( k^{-1} \) exists and is a function. - [Select an answer] ### Table Analysis Given the table of values for the function \( g \), determine whether the following statements are true or false. | \( x \) | -1 | 0 | 1.5 | 2 | 3.5 | |---|---|---|---|---|---| | \( g(x) \) | 18 | 8 | 0.5 | 0 | 4.5 | **True or False Statements:** - \( g \) is a function. - [Select an answer] - \( g^{-1} \) exists and is a function. - [Select an answer] --- **Note:** This guide aims to help students understand the basic properties and analyses of mathematical functions and their inverses through graphical and tabular data. Ensure to review each statement and answer based on the defined properties of functions.
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