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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.
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.
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