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Question
Math
Posted 6 months ago

Function hh is graphed.

What appears to be the value of limx2h(x)\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 6 months ago
Solution by Steps
step 1
To find the limit of h(x)h(x) as xx approaches 2-2 from the left, we need to observe the behavior of the function h(x)h(x) as xx gets closer to 2-2 from values less than 2-2
step 2
From the graph, as xx approaches 2-2 from the left, the function h(x)h(x) approaches the value at the open circle, which is 6-6
step 3
Therefore, the limit of h(x)h(x) as xx approaches 2-2 from the left is 6-6
Answer
(C) -6
Key Concept
Limit of a function from the left
Explanation
The limit of a function as xx approaches a certain value from the left is determined by the values the function approaches as xx gets closer to that value from the left side. In this case, as xx approaches 2-2 from the left, h(x)h(x) approaches 6-6.

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