Consider the function f(x)= cases x^ 2 -4, & 0 x 2, 5x-8, & 2<x 5

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

Problem

Consider the function

f(x)=\begin{cases} x^{2}-4, & 0\le x\le 2,\\ 5x-8, & 2<x\le 5. \end{cases}

f

continuous on the closed interval

[0,5]

? Answer Yes or No and give a brief justification.