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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Answer:
6 L
Step-by-step explanation:
Given two solutions:
1st solution is 90% saline solution. Let the volume of this solution be litres.
2nd solution is 50% saline solution. Volume of this solution = 4 L
Resultant solution is 74% saline.
To find:
The volume of 1st solution = ?
Solution:
Total volume of the 74% saline mixture = (4+) Litres
We can write equation here, as per the percentage of saline in the mixtures.
90% of L + 50% of 4 L = 74% of (
+4)
Therefore, the volume must be <em>6 L</em>.
We can rewrite the asked question like this:
wherein X_1 and X_2 are random variable with the same given normal distribution. Then mean of
is zero and the variance
can be computed like this:
So, the random variable
follows a normal distribution
with means 0 and standard deviation 9.6.
The median of the law N(0,9.6) is 0.
So the expected difference of the score is 0.
wherein X_1 and X_2 are random variable with the same given normal distribution. Then mean of
can be computed like this:
So, the random variable
with means 0 and standard deviation 9.6.
The median of the law N(0,9.6) is 0.
So the expected difference of the score is 0.