Use the image to answer the 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

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 start set negative 5 comma negative 3 comma negative 1 comma 1 end set. The range is the set start set negative 3 comma 0 comma 3 comma 6 end set. - no response given

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 start set negative 3 comma 0 comma 3 comma 6 end set. The range is the set start set negative 5 comma negative 3 comma negative 1 comma 1 end set. - no response given

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 start set negative 3 comma 0 comma 3 comma 6 end set. The range is the set start set negative 5 comma negative 3 comma negative 1 comma 1 end set. - no response given

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 start set negative 5 comma negative 3 comma negative 1 comma 1 end set. The range is the set start set negative 3 comma 0 comma 3 comma 6 end set. - incorrect

1 answer

Without the image, I can't determine if the graph is a function or provide the specific domain and range. However, I can provide you with the criteria for identifying whether a graph represents a function.

To determine if a graph represents a function, you can use the vertical line test: If any vertical line intersects the graph at more than one point, then the graph does not represent a function.

If the line passes through multiple points (for example, if it has the same x-value for different y-values), then it is not a function. If each x-value has exactly one corresponding y-value, then it is a function.

If you can describe the placement of the points in relation to the line or provide coordinates, I'd be happy to help you analyze it further!

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