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 observe the behavior of the function $h(x)$ as $x$ gets closer to $-2$ from values less than $-2$. ‖ ‖ step 2 ⋮ From the graph, as $x$ approaches $-2$ from the left, the function $h(x)$ approaches the value at the open circle, which is $-6$. ‖ ‖ step 3 ⋮ Therefore, the limit of $h(x)$ as $x$ approaches $-2$ from the left is $-6$. ‖ ∻Answer∻ ⚹ (C) -6 ⚹ ∻Key Concept∻ ⚹Limit of a function from the left⚹ ∻Explanation∻ ⚹The limit of a function as $x$ approaches a certain value from the left is determined by the values the function approaches as $x$ gets closer to that value from the left side. In this case, as $x$ approaches $-2$ from the left, $h(x)$ approaches $-6$.⚹◊What is the formula to calculate the limit of a function as x approaches a specific value⍭ Generate me a similar question◊

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