Question

Math

Posted 2 months ago

```
Function $h$ is graphed.
What appears to be the value of $\lim _{x \rightarrow-2^{-}} h(x)$ ?
Choose 1 answer:
(A) 2
(B) -2
(C) -6
(D) Unbounded
```

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Answer from Sia

Posted 2 months ago

Solution by Steps

step 1

To find the limit of $h(x)$ as $x$ approaches $-2$ from the left, we need to analyze the behavior of the function $h(x)$ near $x = -2$

step 2

From the graph, we observe that as $x$ approaches $-2$ from the left, $h(x)$ approaches $-6$

step 3

Since the function $h(x)$ approaches the same value from the left, the limit exists and is equal to $-6$

step 4

Therefore, $\lim_{x \rightarrow -2^{-}} h(x) = -6$

Answer

(C) -6

Key Concept

Limit of a function

Explanation

The limit of a function as $x$ approaches a certain value is the value that the function approaches as $x$ gets closer to that value. In this case, as $x$ approaches $-2$ from the left, $h(x)$ approaches $-6$.

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