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Question

Identify which is/are not a linear function.

A
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B
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C
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D
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Solution

The correct option is C
A linear function can be represented as a straight line other than a vertical line in a coordinate plane.
Alternatively, we can verify using the vertical line test.

Let's figure out which is not a linear function.
Here, for x=4,y has two values 2 and 2.
Hence, this is not a function.

The equation of the line is x=7.
For this, y can have any value.
Hence, this is not a function.

The above graph is not linear because it is not a straight line. It passes vertical line test.
Hence, this is a function but not linear function.


This graph represents y=3.
Here, y has only one value for each value of x, and the line is straight.
Hence, this is a function.

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