Question

Determine if 7x2+y=5 is a linear or nonlinear function.(1 point) Responses The graph of the function 7x2+y=5 is not a straight line. The graph of the function 7 x squared plus y equals 5 is not a straight line. There is not enough information to determine if 7x2+y=5 is a linear or nonlinear function. There is not enough information to determine if 7 x squared plus y equals 5 is a linear or nonlinear function. The function 7x2+y=5 is a nonlinear function. The function 7 x squared plus y equals 5 is a nonlinear function. The function 7x2+y=5 is a linear function.

Answer 1

To determine whether the equation \(7x^2 + y = 5\) represents a linear or nonlinear function, we consider the characteristics of linear equations. A linear equation can be expressed in the form \(y = mx + b\), where \(m\) and \(b\) are constants.

In this case, the term \(7x^2\) indicates that \(x\) is squared, which means the equation represents a quadratic function, not a linear one.

Therefore, the correct response is:

**The function \(7x^2 + y = 5\) is a nonlinear function.**