Question

Please answer this correctly.

Answer 1

The given function is a nonlinear function because the degree of the function is 2 and we get same value of y for more than one values of x.

Explanation:

The given function is

`y=2x^2-5`

To find the points which lie on the function, put difference values of x in the given function and find the values of y.

Put x= -2

`y=2(-2)^2-5=2(4)-5=8-5=3`

Put x= -1

`y=2(-1)^2-5=2(1)-5=2-5=-3`

Put x= 0

`y=2(0)^2-5=2(0)-5=-5=-5`

Put x=1

`y=2(1)^2-5=2(1)-5=2-5=-3`

Put x= 2

`y=2(2)^2-5=2(4)-5=8-5=3`

The table of values is shown below.

Plot these points on a coordinate plane and connect them by a free hand curve.

The given function is a nonlinear function because the degree of the function is 2 and we get same value of y for more than one values of x.

The graph of function is shown below.