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

Question

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

Accepted Answer

∻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 $-6$.⚹◊What is the value of $h(x)$ at the point $x = -2$ on the graph?⍭ Generate me a similar question◊

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