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A constant function is one like f(x)=2 so no matter what value of x I put in, the output is 2. If I have f(x)=x, the identity, this is not constant. I put in 3 for example and get out 3, but if I put in 4 I get out 4. f(x)=x^2 is another non constant. I put in a number and the output is the number squared so this is NOT constant.
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giving
