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Determine if each function is linear or nonlinear.



Drag each function into a box to correctly classify it.

Determine if each function is linear or nonlinear Drag each function into a box to correctly classify it class=

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Answer:

see below

Step-by-step 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)

Answer:

Linear function : [tex]y=\frac{x}{2}-19,13y=\frac{1}{3}x+5, y=x+\frac{25}{5}[/tex]

Non - Linear function : [tex]3y=x^2, y^3=x[/tex]

Step-by-step 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.

[tex]y=\frac{x}{2}-19[/tex]

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

[tex]3y=x^2[/tex]

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

[tex]13y=\frac{1}{3}x+5[/tex]

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

[tex]y=x+\frac{25}{5}[/tex]

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

[tex]y^3=x[/tex]

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

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