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: Rewrite the given equation

We start with the equation \( x + y = 11 \). We want to express \( y \) in terms of \( x \) to get it in the form of a function \( f(x) \). Subtract \( x \) from both sides of the equation:
\( y = -x + 11 \)

Step2: Identify the function

In function notation, \( y = f(x) \), so substituting \( y \) with \( f(x) \), we get \( f(x) = -x + 11 \).

Answer:

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