Question

Sketch a possible graph for a function f with the specific properties. a) The domain of f is [-1,1] b) f (-1)=f(0)=f(1)=0 c) lim f(x) = lim f(x) = lim f(x)=1. Then define the meaning of domain and range and give some example that related to your graph.

Answer 1

Just use the horizontal line f(x) = 1. The limit as f(x) approaches any x-value from any direction must always then be 1.

The above graph satisfy all the given properties.