Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

```markdown
| Function f | Function g | Function h |
|-------------|--------------------|----------------------|
| Domain: [tex]$(-\infty, \infty)$[/tex] | [tex]$y$[/tex]-intercept: [tex]$(0,3)$[/tex] | [tex]$y$[/tex]-intercept: [tex]$(0,-3)$[/tex] |
| [tex]$x$[/tex]-intercept: [tex]$(1,0)$[/tex] | [tex]$x \rightarrow 0$[/tex]: [tex]$(-3,0)$[/tex] | [tex]$r = \operatorname{ln}g \alpha (-\infty, 3]$[/tex] |
| Vertex: [tex]$(2,-3)$[/tex] | Maximum value: 4 | Axis of symmetry: [tex]$x=2$[/tex] |

Compare the characteristics of each function as listed above.
```

Sagot :

GinnyAnswer
Let's go through the question by given functions and provided descriptions.

### Function: Functimenf
- Domain: The domain of Functimenf is all real numbers. It is stated that the domain is [tex]\((-\infty, \infty)\)[/tex]. So this means that Functimenf can take any real number as an input.

Therefore, the domain is:
[tex]\[ (-\infty, \infty) \][/tex]

### Function: Furciong
- Y-intercept: The y-intercept of Furciong is given as (0, 3). This means that when [tex]\( x = 0 \)[/tex], the value of Furciong is 3. So,
[tex]\[ \text{Y-intercept: } (0, 3) \][/tex]

- X-intercept: The x-intercept is (1, 0), meaning when [tex]\( y = 0 \)[/tex], the value of [tex]\( x \)[/tex] is 1. So,
[tex]\[ \text{X-intercept: } (1, 0) \][/tex]

- Behavior as [tex]\( x \)[/tex] approaches -3: It's given that as [tex]\( x \)[/tex] approaches -3 from either the left or the right, the [tex]\( y \)[/tex] value approaches 0. Therefore,
[tex]\[ \text{Behavior: As \( x \) approaches -3, \( y \) value approaches 0} \][/tex]

### Function: Furctionh
- Y-intercept: The y-intercept of Furctionh is given as (0, -3). This means when [tex]\( x = 0 \)[/tex], the value of Furctionh is -3. So,
[tex]\[ \text{Y-intercept: } (0, -3) \][/tex]

- Range: The range of Furctionh is given as [tex]\((-\infty, 3]\)[/tex]. This means Furctionh can take any value from negative infinity to 3 inclusive. So,
[tex]\[ \text{Range: } (-\infty, 3] \][/tex]

- Maximum Value: Furctionh has a maximum value of -3 at the vertex point (2, -3). This means that the highest value Furctionh can reach is -3 when [tex]\( x = 2 \)[/tex]. So,
[tex]\[ \text{Maximum value at vertex: } (2, -3) \][/tex]

- Discontinuity: There is a discontinuity at [tex]\( x = 2 \)[/tex]. This means that Furctionh is not defined or has a break at [tex]\( x = 2 \)[/tex]. So,
[tex]\[ \text{Discontinuity at: \( x = 2 \)} \][/tex]

In summary, here is the detailed information for each function:

### Summary
- Functimenf
- Domain: [tex]\((-\infty, \infty)\)[/tex]

- Furciong
- Y-intercept: (0, 3)
- X-intercept: (1, 0)
- Behavior: As [tex]\( x \)[/tex] approaches -3, [tex]\( y \)[/tex] value approaches 0

- Furctionh
- Y-intercept: (0, -3)
- Range: [tex]\((-\infty, 3]\)[/tex]
- Maximum value at vertex: (2, -3)
- Discontinuity at: [tex]\( x = 2 \)[/tex]

This is the complete step-by-step analysis based on the given table and inferred descriptions for each function.
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.