In this lesson, we will learn how to check the continuity of a function at a given point.
Students will be able to
Q1:
Discuss the continuity of the function π at π₯=β2, given π(π₯)=ο²π₯+8π₯β4π₯β β2,β3π₯=β2.ο©ο¨ifif
Q2:
Given π(π₯)=οβ7π₯+8π₯<β8,π₯+2π₯+4π₯>β8.ififο© If possible or necessary, define π(β8) so that π is continuous at π₯=β8.
Q3:
Suppose π(π₯)=β§β¨β©π₯+1π₯β1,π₯<β1,62π₯β10,π₯β₯β1.ο©ο¬ What can be said of the continuity of π at π₯=β1?
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