Given the function:
[tex]y-4x^2=3x[/tex]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:
[tex]\begin{gathered} y-4x^2+4x^2=3x+4x^2 \\ \\ y=3x+4x^2 \end{gathered}[/tex]Since the degree of x is 2, the function is a nonlinear function.
ANSWER:
Nonlinear