Which relation is a function?
2 answers:
The last graph (absolute value graph with a “v” shaped line) represents a function.
By definition, A function is a relation in which no two ordered pairs have the same input (or x-values) and different outputs (y-values).
A great way to determine whether a graph represents a function is by doing a Vertical Line Test.
The Vertical Line Test allows us to know whether or not a graph is actually a function. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.
To use the vertical-line test, imagine dragging a ruler held vertically across the
graph from left to right. If the graph is that of a function, the edge of the ruler would hit the graph only once for every x -value.
Attached is an edited version of the image you’ve uploaded where I did the Vertical Line Test (sorry for poor editing, I’m using my phone at the moment while typing this answer). The first graph with a circle shows that each vertical line contains more than 1 red point in it. It means that it the x-values have more than 1 corresponding y-value.
The 2nd graph (horizontal parabola) also failed the VLT because each vertical line drawn contained more than 1 point in it, meaning each vertical line drawn crossed the graph more than once.
The 3rd graph is a vertical line, which obviously failed the VLT because it contained more than 1 point.
The last graph (absolute value graph) passed the VLT because each vertical line contains only 1 point at most. Therefore, it is the correct answer.
Please mark my answers as the Brainliest if you find this helpful :)
By definition, A function is a relation in which no two ordered pairs have the same input (or x-values) and different outputs (y-values).
A great way to determine whether a graph represents a function is by doing a Vertical Line Test.
The Vertical Line Test allows us to know whether or not a graph is actually a function. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.
To use the vertical-line test, imagine dragging a ruler held vertically across the
graph from left to right. If the graph is that of a function, the edge of the ruler would hit the graph only once for every x -value.
Attached is an edited version of the image you’ve uploaded where I did the Vertical Line Test (sorry for poor editing, I’m using my phone at the moment while typing this answer). The first graph with a circle shows that each vertical line contains more than 1 red point in it. It means that it the x-values have more than 1 corresponding y-value.
The 2nd graph (horizontal parabola) also failed the VLT because each vertical line drawn contained more than 1 point in it, meaning each vertical line drawn crossed the graph more than once.
The 3rd graph is a vertical line, which obviously failed the VLT because it contained more than 1 point.
The last graph (absolute value graph) passed the VLT because each vertical line contains only 1 point at most. Therefore, it is the correct answer.
Please mark my answers as the Brainliest if you find this helpful :)
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300 degrees is 60 degrees less than 360 degrees, which is a full rotation. Thus, 300 degrees counterclockwise is the same as 60 degrees clockwise.
Note that this shape is a hexagon. Thus, we can divide a hexagon into 6 equilateral triangles, each with measures of 60 degrees. Just move OQ to the adjacent clockwise equilateral triangle and see what it overlaps with.
OQ is the altitude of the equilateral triangle, so our answer will be the altitude of the adjacent clockwise equilateral triangle.
The answer is OF.
300 degrees is 60 degrees less than 360 degrees, which is a full rotation. Thus, 300 degrees counterclockwise is the same as 60 degrees clockwise.
Note that this shape is a hexagon. Thus, we can divide a hexagon into 6 equilateral triangles, each with measures of 60 degrees. Just move OQ to the adjacent clockwise equilateral triangle and see what it overlaps with.
OQ is the altitude of the equilateral triangle, so our answer will be the altitude of the adjacent clockwise equilateral triangle.
The answer is OF.