Question

select the correct answer. which function has the same graph as ( x + y = 11 )? a. ( f(x) = -y + 11 ) b. ( f(x) = -x + 11 ) c. ( f(x) = x - 11 ) d. ( f(x) = y - 11 )

Explanation:

Step1: Recall function notation

In function notation, \( y = f(x) \), so we need to solve the equation \( x + y = 11 \) for \( y \) in terms of \( x \).

Step2: Solve for \( y \)

Starting with \( x + y = 11 \), subtract \( x \) from both sides:
\( y = -x + 11 \)
Since \( y = f(x) \), this means \( f(x) = -x + 11 \).

Answer:

B. \( f(x) = -x + 11 \)