Question

continuity help @Physics

Answer 1

Let f(X) be continuous funcion dfined for 1<=x<=3 .if f(x) takes rational values for all values of x and f(2)=10 . Determine value of f(1.5)

Answer 2

Maybe I'm being silly, but are you sure that's all the information you have?

Answer 3

i feel like f(1.5)=10 (i.e. f(x) is constant). If it were anything else, it would take on some irrational value rite due to the intermediate value theorem?

Answer 4

ah yes I think I was being silly