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Question
Identify which is/are not a linear function.
Identify which is/are not a linear function.
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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.
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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