Define p(x)= x^ 2 -1 x-1 + x on the interval

MATHEMATICS · Single correct · GCSE · Mathematics · Graphs · Graphs

Problem

Define

p(x)=\frac{x^{2}-1}{x-1}+\lfloor x \rfloor

on the interval

(-2,3]

. How many points of discontinuity does

p

have on this interval? (a) 6 (b) 4 (c) 5 (d) 7