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

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 )

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 )

Answer

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 )