Folks,

a) Does the function space $\displaystyle || ||:C[0,1] \rightarrow R$ defined by $\displaystyle ||f||=|f(1)-f(0)| $define a norm on C[0,1]

b)If it does, prove all the axioms for a norm hold. If not, demonstrate by an example some axiom which fails

How do I start a)....I have no idea....?

THanks