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# Increasing functions

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1. https://b3755649dbd1afe3db91a899c3b9...20C3%20OCR.pdf

For 7ii of the above paper, why does the mark scheme below say that the gradient is greater than or equal to 0? shouldn't it just be greater than 0?

https://b3755649dbd1afe3db91a899c3b9...20C3%20OCR.pdf
2. (Original post by runny4)
For 7ii of the above paper, why does the mark scheme below say that the gradient is greater than or equal to 0? shouldn't it just be greater than 0?
No, we say that a function is strictly increasing if it's derivative is strictly positive i.e. >0.

But when we just say increasing, we permit points where the gradient is zero as long as the gradient is never negative.

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