This is the graph of function $g$.

Over which intervals is $g$ continuous?

Choose all answers that apply:
A $[-2,0]$

В $[1,5]$
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 $[-2,0]$

В $[1,5]$
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 graph provided. ‖ ‖ step 2 ⋮ From the graph, we observe that $g$ has open circles at the points $(-2, -4)$ and $(3, 3)$, indicating discontinuities at $x = -2$ and $x = 3$. ‖ ‖ step 3 ⋮ The closed circles at $(0, 3)$ and $(3, 7)$ indicate that $g$ is continuous at $x = 0$ and $x = 3$. ‖ ‖ step 4 ⋮ Therefore, $g$ is continuous in the interval $[-2, 0]$ because there are no discontinuities within this interval. ‖ ‖ step 5 ⋮ The interval $[1, 5]$ is not continuous because there is a discontinuity at $x = 3$. ‖ ∻Answer∻ ⚹ $[-2, 0]$ ⚹ ∻Key Concept∻ ⚹Continuity of a function⚹ ∻Explanation∻ ⚹A function is continuous over an interval if there are no breaks, jumps, or holes in the graph within that interval.⚹◊What is the definition of continuity of a function in calculus?⍭ Generate me a similar question◊

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