This is the graph of function $g$.

Over which intervals is $g$ continuous?

Choose all answers that apply:
A $[-2,0]$
B $[1,5]$
C None of the above

Question

This is the graph of function $g$.

Over which intervals is $g$ continuous?

Choose all answers that apply:
A $[-2,0]$
B $[1,5]$
C None of the above

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ To determine the intervals over which the function $g$ is continuous, we need to analyze the given graph and identify any points of discontinuity. ‖ ‖ step 2 ⋮ From the graph, we observe that there are open circles at $(-3, -5)$ and $(3, 3)$, indicating points of discontinuity. ‖ ‖ step 3 ⋮ We also observe that there are closed circles at $(-3, 2)$ and $(3, 3)$, indicating that the function is defined at these points. ‖ ‖ step 4 ⋮ The interval $[-2, 0]$ does not include any points of discontinuity, so $g$ is continuous over this interval. ‖ ‖ step 5 ⋮ The interval $[1, 5]$ includes the point $(3, 3)$, which is a point of discontinuity, so $g$ is not continuous over this interval. ‖ ‖ step 6 ⋮ Therefore, the correct answer is $A$ $[-2, 0]$. ‖ ∻Answer∻ ⚹ A $[-2, 0]$ ⚹ ∻Key Concept∻ ⚹Continuity of a function⚹ ∻Explanation∻ ⚹A function is continuous over an interval if there are no points of discontinuity within that interval.⚹◊What is the definition of a continuous function over an interval in terms of limits?⍭ Generate me a similar question◊

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