Question

Determine if each function is linear or nonlinear.

Drag each function into a box to correctly classify it.

Answer 1

Linear function :
`y=(x)/(2)-19,13y=(1)/(3)x+5, y=x+(25)/(5)`

Non - Linear function :
`3y=x^2, y^3=x`

Explanation:

Linear function : If a function has either one or two variables with degree 1, then it is known as linear function. The graph of a linear function is always a straight line.

Non - Linear function : If a function has either one or two variables with exponents, then it is known as non-linear function. The graph of a non-linear function is a curve.

`y=(x)/(2)-19`

Here, degree of both variables is 1. So, it is a linear function.

`3y=x^2`

Here, degree of y is 1 and degree of x is 2. So, it is a non-linear function.

`13y=(1)/(3)x+5`

Here, degree of both variables is 1. So, it is a linear function.

`y=x+(25)/(5)`

Here, degree of both variables is 1. So, it is a linear function.

`y^3=x`

Here, degree of y is 3 and degree of x is 1. So, it is a non-linear function.

Answer 2

see below

Explanation:

Linear functions are those with a power of x that is 1 and a power of y that is 1

y = x/2 -19 That is linear

3y = x^2 That is parabolic (not linear)

13y = 1/3x+5 That is linear

y = x +25/5 That is linear

y^3 =x That is a cubic equation (That is not linear)