Determine if 7x2+y=5

Question

is a linear or nonlinear function.(1 point)
Responses

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 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.

The function 7x2+y=5
is a linear function.
The function 7 x squared plus y equals 5 is a linear function.

The function 7x2+y=5
is a nonlinear function.

Answer 1

To determine whether the equation \( 7x^2 + y = 5 \) represents a linear or nonlinear function, we should analyze the terms involved.

A linear function can generally be expressed in the form \( y = mx + b \), where \( m \) and \( b \) are constants, and it involves variables raised only to the first power (exponents of 1).

In the given equation \( 7x^2 + y = 5 \), the term \( 7x^2 \) has \( x \) raised to the second power (exponent of 2), which means it does not fit the form of a linear function.

Therefore, the equation represents a nonlinear function.

The correct response is:

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