Use the image to answer the question.

Question

A line and four points on the line are plotted on a coordinate plane. Both axes are unlabeled. The line begins in quadrant 3 sloping upward from left to right, passes through quadrant 4, and rises through quadrant 1.

Determine whether the graph is a function, and state the domain and range.

(1 point)
Responses

Yes, it is a function. The domain is the set {−3,0,3,6}
. The range is the set {−5,−3,−1,1}
.
Yes, it is a function. The domain is the set left brace negative 3 comma 0 comma 3 comma 6 right brace . The range is the set left brace negative 5 comma negative 3 comma negative 1 comma 1 right brace .

No, it is not a function. The domain is the set {−3,0,3,6}
. The range is the set {−5,−3,−1,1}
.
No, it is not a function. The domain is the set left brace negative 3 comma 0 comma 3 comma 6 right brace . The range is the set left brace negative 5 comma negative 3 comma negative 1 comma 1 right brace .

No, it is not a function. The domain is the set {−5,−3,−1,1}
. The range is the set {−3,0,3,6}
.
No, it is not a function. The domain is the set left brace negative 5 comma negative 3 comma negative 1 comma 1 right brace . The range is the set left brace negative 3 comma 0 comma 3 comma 6 right brace .

Yes, it is a function. The domain is the set {−5,−3,−1,1}
. The range is the set {−3,0,3,6}
.
Yes, it is a function. The domain is the set left brace negative 5 comma negative 3 comma negative 1 comma 1 right brace . The range is the set left brace negative 3 comma 0 comma 3 comma 6 right brace .
Remaining Attempts : 3
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Answer 1

To determine whether the graph represents a function and to identify the domain and range, we can apply the vertical line test. A graph is a function if any vertical line intersects the graph at no more than one point.

Since the line slopes upward and passes through various quadrants, it is likely that the line does not intersect itself at any vertical line. Therefore, it can be assumed that it is a function.

Now let's identify the domain and range based on the options provided:

• The domain consists of the x-coordinates of the plotted points.
• The range consists of the y-coordinates of the plotted points.

Given that we can't actually see the image, based on standard definitions and the common interpretation of functions in coordinate planes, the most reasonable answer from the provided options would be:

Yes, it is a function. The domain is the set {−3,0,3,6}. The range is the set {−5,−3,−1,1}.

This response indicates that it meets the criteria for being a function with clear, distinct domain and range values.