How would i show that f(x)= -3 +17 is continuous on [-1,1]?

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- Apr 26th 2010, 08:32 AMtn11631show that the function is continuous?
How would i show that f(x)= -3 +17 is continuous on [-1,1]?

- Apr 27th 2010, 12:52 PMAmer
there is a theorem said if "f" and "g" continuous functions then f+g is continuous

so I'd like to split the function into three functions

, ,

I will prove the first one and leave the others for you

given and take

we need to find delta depending on epsilon and x

choose

this delta works for any epsilon