Question

Tell whether the function
`y - 4x {}^(2) = 3x`linear or nonlinear

Answer 1

Given the function:

`y-4x^2=3x`

Let's determine if the function is linear or nonlinear.

A linear function is the function of a straight line. A linear function must have a degree of zero or one for each of its variables.

Here, the degree of y is 1, the degree of x is 2.

A linear function has the form:

y = mx + b

From the equation Add 4x² to both sides:

`\begin{gathered} y-4x^2+4x^2=3x+4x^2 \\ \\ y=3x+4x^2 \end{gathered}`

Since the degree of x is 2, the function is a nonlinear function.

ANSWER:

Nonlinear