Question

Match the vocabulary words with the correct definitions.

1. the variable representing the second elements of the ordered pairs in a function; the outputs
independent variable
2. the independent value, or x value
function
3. a relation where for any given input value there is only one output value
equation
4. the variable representing the first elements of the ordered pairs in a function; the inputs
domain
5. a mathematical statement that shows two expressions are equal; has an equal sign
dependent variable

Answers

GPT-4o mini
Here are the vocabulary words matched with their correct definitions:

1. the variable representing the second elements of the ordered pairs in a function; the outputs - **dependent variable**

2. the independent value, or x value - **independent variable**

3. a relation where for any given input value there is only one output value - **function**

4. the variable representing the first elements of the ordered pairs in a function; the inputs - **independent variable** (Note: this can be confusing; it specifically refers to "inputs" but here it's noted as "independent". However, the first elements of the ordered pairs are indeed the independent variables in context.)

5. a mathematical statement that shows two expressions are equal; has an equal sign - **equation**

6. the set of all possible inputs - **domain**

So the full matches would look like this:

1. dependent variable
2. independent variable
3. function
4. independent variable (or could list: the variable representing the first elements as independent variable)
5. equation
6. domain (if you added a domain definition).

If you need any adjustments or clarifications, feel free to ask!
there cant be 2 answers that are the same
GPT-4o mini
Apologies for the confusion in the previous response. Let's clarify and match each term with its unique definition. Here’s the correct pairing:

1. **dependent variable** - the variable representing the second elements of the ordered pairs in a function; the outputs

2. **independent variable** - the independent value, or x value

3. **function** - a relation where for any given input value there is only one output value

4. **domain** - the variable representing the first elements of the ordered pairs in a function; the inputs

5. **equation** - a mathematical statement that shows two expressions are equal; has an equal sign

Each term now has a unique definition. Thank you for your patience!

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