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3-13.
  1. Is the function graphed below continuous at the following values of x? If not, explain which conditions of continuity fail. Homework Help ✎

    x = −4, −2, 0, and 2


Now use the three conditions to test if the function is continuous at x = −2, x = 0 and x = 2.

Examine the graph at x = −4

Condition 1:

Condition 2:

f(-4) = 0.
Therefore f(−4) exists.

Condition 3:

f(x) is continuous at x = −4