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

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 .

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

Answer 1

Based on the description of the graph, the line is plotted with four distinct points on it. Since every vertical line drawn through the graph would intersect the line at most once (as it is a straight line), the graph represents a function.

To find the domain and range based on the points mentioned, we identify the x-coordinates as the domain and the y-coordinates as the range:

Given the options:

1. Domain: {−3, 0, 3, 6}
2. Range: {−5, −3, −1, 1}

We can conclude that:

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