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Identify each graph as being a non-linear function, a linear function, or not a function.

Identify each graph as being a non-linear function, a linear function, or not a function-example-1
User Gruff
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A linear function has to have a constant rate or change (called the slope).

Also, for a graph to represent a function, it has to have one and only one value of y for the same value of x of the domain.

In the case of graph A, this is a periodic function with a variable rate of change so it is a non linear function.

In the case of graph B (the circle), we have more than one value of y for the same value of x, so this graph does not correspond to a function.

In the case of graph C, we have an absolute value function, which have two different slopes depending on which part we are looking. Therefore it is a function but is non linear (although its parts are linear by themselves).

Answer:

Graph A --> Non linear

Graph B --> Not a function

Graph C --> Non linear

User Tomcritchlow
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