To create a linear function based on your description, we want to express the relationship between the input \( x \) and the output \( y \). According to your requirement, the output \( y \) should be 8 less than 3 times \( x \).
We can represent this relationship with the following equation:
\[ y = 3x - 8 \]
In this function:
- \( y \) is the output.
- \( x \) is the input.
- The expression \( 3x - 8 \) indicates that we first multiply \( x \) by 3 and then subtract 8 from that result.
So, the linear function is:
\[ y = 3x - 8 \]