The domain of a function that reflects coordinates over the y-axis consists of the coordinates (5, 7), (8, 2) and (9, 4).
What is the range of the function?
A. {(5, −7), (8, −2), (9, −4)}
B. {(7, 5), (2, 8), (4, 9)}
C. {(−5, −7), (−8, −2), (−9, −4)}
D. {(−5, 7), (−8, 2), (−9, 4)}
no, the domain consists of the set {5,8,9}
However, reflection over the x-axis takes
(x,y)→(x,-y)
so just find the set which changes the sign of the y-coordinates.
PLEASE HELPPPP !!!!
To find the range of the function, we need to determine the set of all possible y-values that the function can output.
Given that the function reflects coordinates over the y-axis, it means that the x-values remain the same while the y-values change sign.
For the coordinate (5, 7), the reflected coordinate would be (-5, 7).
For the coordinate (8, 2), the reflected coordinate would be (-8, 2).
For the coordinate (9, 4), the reflected coordinate would be (-9, 4).
Therefore, the range of the function is option D. {(−5, 7), (−8, 2), (−9, 4)}.
To find the range of a function, we need to determine the set of all possible output values or y-values that the function can produce.
In this case, the function reflects the coordinates over the y-axis. This means that the x-coordinate remains the same, but the y-coordinate is negated (flipped sign).
Let's apply this reflection to each coordinate and determine the resulting y-values:
For (5, 7), after reflecting over the y-axis the coordinates become (5, -7).
For (8, 2), after reflecting over the y-axis the coordinates become (8, -2).
For (9, 4), after reflecting over the y-axis the coordinates become (9, -4).
Now we have the new set of coordinates: {(5, -7), (8, -2), (9, -4)}.
Therefore, the range of the function is given by option A: {(5, −7), (8, −2), (9, −4)}.