True or False If f and g are increasing on an interval I then f times g is increasing on I?

I know the answer is False but I can't figure out an example to prove it.True or False If f and g are increasing on an interval I then f times g is increasing on I?
They will increase on an interval of fXg. Think of two simple series, one increasing by a factor of 2, and the other increasing by a factor of three. The product of these will increase by a factor of 6.True or False If f and g are increasing on an interval I then f times g is increasing on I?
2 points for me