Question
Represent the function given in the table using function notation. Name the function as f and the input as x x y 8 16 9 18 10 20 11 22
Answers
GPT-4o mini
To represent the function given in the table using function notation, you can express it based on the relationship between the input values (x) and the output values (y).
From the provided values:
- When \( x = 8 \), \( y = 16 \)
- When \( x = 9 \), \( y = 18 \)
- When \( x = 10 \), \( y = 20 \)
- When \( x = 11 \), \( y = 22 \)
You can observe that \( y \) increases by 2 for each increase of 1 in \( x \). This indicates a linear relationship.
To express this relationship in function notation, you can find a pattern or equation. We can see that:
\[ y = 2x \]
Now we can represent this function using function notation. We can define the function \( f(x) \) as:
\[
f(x) = 2x
\]
This means that for any input \( x \), the output \( f(x) \) will be twice the value of \( x \).
So, in conclusion, the function represented in function notation is:
\[
f(x) = 2x
\]
From the provided values:
- When \( x = 8 \), \( y = 16 \)
- When \( x = 9 \), \( y = 18 \)
- When \( x = 10 \), \( y = 20 \)
- When \( x = 11 \), \( y = 22 \)
You can observe that \( y \) increases by 2 for each increase of 1 in \( x \). This indicates a linear relationship.
To express this relationship in function notation, you can find a pattern or equation. We can see that:
\[ y = 2x \]
Now we can represent this function using function notation. We can define the function \( f(x) \) as:
\[
f(x) = 2x
\]
This means that for any input \( x \), the output \( f(x) \) will be twice the value of \( x \).
So, in conclusion, the function represented in function notation is:
\[
f(x) = 2x
\]