Is the function defined by f(x) = cases x+5, & if x ≤ 1 x-5, & if x > 1 cases a…

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Is the function

f

defined by

f(x) = \begin{cases} x+5, & \text{if } x ≤ 1 \\ x-5, & \text{if } x > 1 \end{cases}

a continuous function? Justify your answer.