Question

Y=4x(8-x). Linear or nonlinear? explain.

Answer 1

Nonlinear

Explanation:

Simplifying the function, we get:

`y=4x(8-x)`

`y=4x*8+4x*(-x)` (Distribute)

`y=32x-4x^(2)`

In a linear function, the highest power of
`x` will be
`1`. This is not the case here as the highest power of
`x` is
`2` due to the
`-4x^(2)`, which means that the given function cannot be linear. Therefore, the answer is nonlinear. Hope this helps!

Answer 2

not linear

Explanation:

this equation becomes y = -4x² + 32x which is a quadratic equation that, when graphed, forms an upside down u-shaped curve (upside down because the x² term is negative; if it's positive then the curve is u-shaped)