High School

Choose which answer best describes the statement below:

[tex]\[ f(3)=24 \][/tex]

A. 3 is the output, 24 is the input

B. 3 is the input, 24 is the output

C. [tex]\( f(3) \)[/tex] is the output, 24 is the input

D. [tex]\( f(3) \)[/tex] is the input, 24 is the output

Answer :

To determine which answer best describes the statement [tex]\( f(3) = 24 \)[/tex], let's break down what the statement means.

1. Understanding Functions:
- In the notation [tex]\( f(x) \)[/tex], [tex]\( x \)[/tex] represents the input of the function.
- The expression [tex]\( f(x) \)[/tex] represents the output when you input [tex]\( x \)[/tex] into the function.

2. Given Statement:
- [tex]\( f(3) = 24 \)[/tex].

3. Interpreting the Given Statement:
- The number inside the parentheses is the input of the function, so [tex]\( 3 \)[/tex] is the input.
- The value on the right side of the equation is the output of the function, so [tex]\( 24 \)[/tex] is the output.

4. Describing the Statement:
- Based on the explanation above, [tex]\( 3 \)[/tex] is being used as the input to the function [tex]\( f \)[/tex].
- The result of this function when evaluated at [tex]\( 3 \)[/tex] is [tex]\( 24 \)[/tex], so [tex]\( 24 \)[/tex] is the output.

5. Correct Answer:
- Therefore, the correct description of the statement [tex]\( f(3) = 24 \)[/tex] is:

```
3 is the input, 24 is the output
```

This corresponds to the second choice in the list.