### Understanding Domains of a FunctionIn this example, we are given a function that consists of several ordered pairs. Each ordered pair is in the form $(x, y)$, where $x$ represents the input value and $y$ represents the corresponding output value.**Given Function:** \[ f = \{(0,6), (-2, 3), (-4, 0)\} \]Based on these ordered pairs, you are asked to determine the domain of the function.#### What is the Domain of the Function?The domain of a function is the set of all possible input values (x-values) for which the function is defined.#### Ordered Pairs in the Function- $(0, 6)$: The input (x-value) is $0$- $(-2, 3)$: The input (x-value) is $-2$- $(-4, 0)$: The input (x-value) is $-4$To find the domain, we collect all the unique x-values from the ordered pairs given in the function. The options provided are:1. $\{0, -2, -4\}$2. $\{0, -1, -2, -3, -4\}$3. $\{6, 3, 0\}$4. $\{6, 5, 4, 3, 2, 1, 0\}$Examining each option, the correct set of x-values is:\[ \{0, -2, -4\} \]Thus, the domain of the function is:\[ \{0, -2, -4\} \]When learning about functions, always remember that the domain is essentially the collection of all first elements in each ordered pair of the function.

Given The function has order pairs of form (x,y) f = {(0,6),(-2,3),(-4,0)} 90

Answered: The function below contains ordered…

The function below contains ordered pairs of the form (x, y). f = {{0,6), (-2, 3), (-4, O)} What is the domain of the function? O {0, -2, -4} O {0, -1, -2, -3, -4} O (6, 3, 0} O {6, 5, 4, 3, 2, 1, 0}

Algebra and Trigonometry (6th Edition)

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra

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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

### Understanding Domains of a Function

In this example, we are given a function that consists of several ordered pairs. Each ordered pair is in the form $(x, y)$, where $x$ represents the input value and $y$ represents the corresponding output value.

**Given Function:**
\[ f = \{(0,6), (-2, 3), (-4, 0)\} \]

Based on these ordered pairs, you are asked to determine the domain of the function.

#### What is the Domain of the Function?

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

#### Ordered Pairs in the Function
- $(0, 6)$: The input (x-value) is $0$
- $(-2, 3)$: The input (x-value) is $-2$
- $(-4, 0)$: The input (x-value) is $-4$

To find the domain, we collect all the unique x-values from the ordered pairs given in the function.

The options provided are:
1. $\{0, -2, -4\}$
2. $\{0, -1, -2, -3, -4\}$
3. $\{6, 3, 0\}$
4. $\{6, 5, 4, 3, 2, 1, 0\}$

Examining each option, the correct set of x-values is:
\[ \{0, -2, -4\} \]

Thus, the domain of the function is:
\[ \{0, -2, -4\} \]

When learning about functions, always remember that the domain is essentially the collection of all first elements in each ordered pair of the function.

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