CPM Homework Help : APCALC Problem 8-11

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Home > APCALC > Chapter 8 > Lesson 8.1.1 > Problem 8-11

8-11.

Determine the following limits for $y = g(x)$ graphed in the previous problem.

$\lim\limits _ { x \rightarrow - 4 ^ { + } } g ( x )$
Hint (a):
What $y\text{-value}$ 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 $g\left(x\right)$ approach as $x$ approaches $-4$ from the negative (left) side?

$\lim\limits _ { x \rightarrow 2 } g ( x )$
Hint (c):
What $y$ -value does $g(x)$ approach as $x$ approaches $2$ from both sides?
Hint (c):
Since a limit is a predicted $y\text{-value}$ , 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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