Consider the function f(x)= cases x+1, & x 1 x^ 2 , & x>1 cases On the interval
MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity
Problem
Consider the function
f(x)={x+1,x2,x≤1x>1
On the interval [0,2], do the hypotheses required for the Intermediate Value Theorem hold? Answer "yes" or "no" and state the value of x (if any) at which a required hypothesis fails.