A function is differentiable on except that it has a jump discontinuity at

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

A function

g

is differentiable on

(0,4)

except that it has a jump discontinuity at

x=2

. Identify which hypothesis of the Extreme Value Theorem is violated and state the resulting implication for the existence of absolute extrema on

[0,4]