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Question

A function has a constant slope from x = 0 to x = 5. After that, from x = 6 the slope starts decreasing. Therefore, the function is a .

A
linear function
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B
non-linear function
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C
constant function
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D
exponential function
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Solution

The correct option is B non-linear function
For a function to be linear, the slope should be constant for all values of x.

It is given that, the function has a constant slope from x = 0 to x = 5. But, the slope started decreasing from x = 6 onwards. So, the slope of the function remains not constant anymore.

Let's plot the graph:


Therefore, it is a non-linear function.

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