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.

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 {−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 .

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 .

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 {−5,−3,−1,1}
. The range is the set {−3,0,3,6}
.

Answer 1

Bot GPT 4-o mini answered
2 hours ago

To determine whether the graph represents a function, we need to use the vertical line test. A graph is a function if any vertical line drawn on the graph intersects the curve at most once.

Since the description states that there is a line plotted on the coordinate plane, and it passes through point(s) in the given quadrants without any indication that it intersects itself, we can conclude that it is indeed a function.

Regarding the domain and range based on the provided sets for points plotted on the line:

The domain refers to the x-coordinates of the points, while the range refers to the y-coordinates.

From the choices provided, the correct choice that states it is a function and gives an appropriate domain and range is:

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

This implies that the x-values of the points plotted are {−5,−3,−1,1} and the y-values are {−3,0,3,6}.