Consider the piecewise function h(x)= cases x^ 2 -1, & x<2, 3x-5, & x 2

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Consider the piecewise function

h(x)= \begin{cases} x^{2}-1, & x<2,\\ 3x-5, & x\ge 2. \end{cases}

Determine the magnitude of the jump (the absolute difference between the one-sided limits) at

x=2

. (a)

3

(b)

4

(c)

2

(d)

1