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}
.
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}
.
Answers
GPT-4o mini
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:
1. 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}.
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:
1. 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}.