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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