Precalculus Glencoe CCSS Edition page 9 problem 21

Question

Determine whether each relation represents y as a function

3y + 4x = 11

Answer 1

The equation is .

Solve the above equation for .

Subtract from each side.

Divide each side by .

Let us consider x = 1.

Substitute x = 1 in .

Let us consider x = 2.

Substitute x = 2 in .

For any input of x is paired with exactly one element of the output y.

Thus, the equation 3y +4x =11 defines y as a function of x.

The equation 3y +4x =11 defines y as a function of x.