A continuous function is defined on with the following values: p(-2)=-5, ; p(-1)=4, ;…
MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity
Problem
A continuous function p is defined on [−2,3] with the following values:
p(−2)=−5,p(−1)=4,p(1)=−2,p(3)=7.
What can be concluded about the equation p(x)=0 on the interval [−2,3]?
(a) It has at least two distinct real solutions.
(b) It has at least three distinct real solutions.
(c) It has exactly three distinct real solutions.
(d) It has exactly two distinct real solutions.