Question

Is the function linear or nonlinear y=2x^2-4

Answer 1

The function is nonlinear.

Answer 2

ANSWER


The function is non linear.

EXPLANATION

A linear function is of the form

$y = mx + c$


or

$ax + by + c = 0$


The highest degree of the variables in each term in the simplest form is 1.


Any degree higher or less than 1 will make the function nonlinear.


The function given to us is,

$y = 2{x}^{2} - 4$

The highest degree is 2. This is a quadratic curve.


The graph of all linear functions are straight lines.