Let . How many points of discontinuity does have in the open interval…

MATHEMATICS · Single correct · GCSE · Mathematics · Algebra · Algebra

Problem

Let

h(x)=\big\lfloor \dfrac{x}{2} \big\rfloor+\big\lfloor \dfrac{x+1}{2} \big\rfloor

. How many points of discontinuity does

h

have in the open interval

(-5,5)

? (a) 10 (b) 9 (c) 8 (d) 11