CPM Homework Help : CALC Problem 8-11

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8-11.

Find the following limits for $g(x)$ graphed above.

$\lim\limits_ { x \rightarrow - 4 ^ { + } } g ( x )$
Hint (a):
What y-value does $g(x)$ approach as $x$ approaches $−4$ from the positive (right) side?
Answer (a):
$3$

$\lim\limits_ { x \rightarrow - 4 ^ { - } } g ( x )$
Hint (b):
What $y$ -value does $g(x)$ approach as $x$ approaches $−4$ from the negative (left) side?

$\lim\limits_ { x \rightarrow 2 } g ( x )$
Hint 1(c):
What $y$ value does $g(x)$ approach as x approaches $2$ from both sides?
Hint 2(c):
Since a limit is a predicted $y$ -value, it can exist at a hole.

$\lim\limits_ { x \rightarrow 1 } g ( x )$
Hint (d):
A two-sided limit must agree from both sides.

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