1. The problem statement, all variables and given/known data Suppose f has the intermediate value property on an interval I and let k be a constant. Prove that kf has the intermediate value property. 2. Relevant equations 3. The attempt at a solution Since f has IVP on I, then there is distinct a and b in I and f(c)=v exists and is between f(a) and f(b). Let k be a constant real number. Then kf(a), kf(b) and kf(c) are all real numbers where kf(c) is between kf(a) and kf(b) by properties of real numbers. So then kf has IVP on I?