Question

A graph on a coordinate plane shows a function with one line segment and one curved segment that are disjoint.The coordinate plane has an x-axis range of negative 10 to 10 and a y-axis range of negative 10 to 10. There is a line segment connecting an open point at left-parenthesis negative 6 comma negative 3 right-parenthesis and a closed point at left-parenthesis 2 comma 2 right-parenthesis. A curve connects an open point at left-parenthesis 1 comma 7 right-parenthesis and a closed point at left-parenthesis 5 comma 3 right-parenthesis.
Question
Use the graph of the function to answer the question.
Find the domain and range of the function shown in the graph. Write the domain and range using interval notation.
(1 point)
I DO NEED AN AWNSER FROM BELOW!
Responses

domain: left-bracket negative 3 comma 2 right-parenthesis union left-parenthesis 3 comma 7 right-bracket
range: left-bracket negative 6 comma negative 1 right-parenthesis union left-bracket 1 comma 5 right-parenthesis
domain: Image with alt text: left-bracket negative 3 comma 2 right-parenthesis union left-parenthesis 3 comma 7 right-bracket range: Image with alt text: left-bracket negative 6 comma negative 1 right-parenthesis union left-bracket 1 comma 5 right-parenthesis

domain: left-parenthesis negative 6 comma negative 1 right-bracket union left-parenthesis 1 comma 5 right-bracket
range: left-parenthesis negative 3 comma 2 right-bracket union left-bracket 3 comma 7 right-parenthesis
domain: Image with alt text: left-parenthesis negative 6 comma negative 1 right-bracket union left-parenthesis 1 comma 5 right-bracket range: Image with alt text: left-parenthesis negative 3 comma 2 right-bracket union left-bracket 3 comma 7 right-parenthesis

domain: left-parenthesis negative 3 comma 2 right-bracket union left-bracket 3 comma 7 right-parenthesis
range: left-parenthesis negative 6 comma negative 1 right-bracket union left-parenthesis 1 comma 5 right-bracket
domain: Image with alt text: left-parenthesis negative 3 comma 2 right-bracket union left-bracket 3 comma 7 right-parenthesis range: Image with alt text: left-parenthesis negative 6 comma negative 1 right-bracket union left-parenthesis 1 comma 5 right-bracket

domain: left-bracket negative 6 comma negative 1 right-parenthesis union left-bracket 1 comma 5 right-parenthesis
range: left-bracket negative 3 comma 2 right-parenthesis union left-parenthesis 3 comma 7 right-bracket

Answer 1

Based on the description provided:

1. The line segment connects the open point at \((-6, -3)\) and the closed point at \((2, 2)\). This indicates that the domain from this segment would be \([-6, 2)\), since \(-6\) is included (closed) and \(2\) is not included (open).

2. The curve connects the open point at \((1, 7)\) and the closed point at \((5, 3)\). This indicates that the domain from this segment would be \((1, 5]\), as \(1\) is not included (open) and \(5\) is included (closed).

Combining these, the overall domain of the function is:
\[
[-6, 2) \cup (1, 5]
\]

Now, looking at the range:

- For the line segment, the \(y\)-values range from \(-3\) to \(2\) (with \(-3\) included and \(2\) excluded): thus, the range from this part is \([-3, 2)\).

- The curved segment ranges from \(7\) to \(3\) (with \(3\) included and \(7\) excluded), leading to the range being \((3, 7]\).

Combining these, the overall range of the function is:
\[
[-3, 2) \cup (3, 7]
\]

So, the correct intervals for the domain and range are:
- Domain: \([-6, 2) \cup (1, 5]\)
- Range: \([-3, 2) \cup (3, 7]\)

However, it seems that from the provided options, I don't see an exact match. Given that, you may want to double-check the graphics and points if there's any discrepancy. Depending on graph interpretation, it’s important to ensure that overlaps and exclusions are clear.