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Home > APCALC > Chapter 3 > Lesson 3.1.2 > Problem 3-29

3-29.

Is the function graphed below continuous at the following values of ? If not, explain which conditions of continuity fail. 

and

Three conditions of continuity:

Piecewise, left curve coming from left below, x axis, falling to approximate point (negative 4, comma negative 3), rising to open point (negative 3, comma negative 2), then falling to negative infinity, left of y axis, right curve coming from negative infinity, right of y axis, increasing opening down to closed point (2, comma negative 1, ray starting at open point (2, comma 0), continuing up & right, & closed point at (negative 3, comma 1).

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