Which set of ordered pairs represents a function? please help A\{(-8, 1), (5, -7), (-6, 9), (-6, -9)\}{(−8,1),(5,−7),(−6,9),(−6,−9)}

B\{(-2, -3), (2, 1), (2, 6), (4, 9)\}{(−2,−3),(2,1),(2,6),(4,9)}

C\{(-8, 4), (6, 4), (9, 1), (7, -6)\}{(−8,4),(6,4),(9,1),(7,−6)}

D\{(-4, 5), (0, 0), (2, -8), (2, 0)\}{(−4,5),(0,0),(2,−8),(2,0)}

A function is defined as an operation on a number, which gives only one output for every input

while graphing a function, the x-ordinate denotes the input and the y-ordinate denotes the output of the function

Now, lets look at the graph

for the input value '4' , we notice that there are 2 possible outputs. The output can be either 2.5 or -2.5

Since there are multiple outputs for almost every input, this graph cannot denote a function since a function gives only one output

Top Right Graph is the only function.

Step-by-step explanation:

Imagine a vertical line moving from left to right over the entire width of the graph. If at any position, the line intersects more than one point on the graph, the graph is not a function. This is called the vertical line test.

The only graph that passes the vertical line test is the top right graph. All other graphs fail the vertical line test because a vertical line intersects more than one point at some position.

w

Step-by-step explanation:

A function cannot have 2 y values for the same x value

The only function that does not have 2 y values for the same x value is W

Top left corner

Explanation:

Here the graph has each x value correspond to exactly 1 and only 1 y value. Plugging in something like x = 0 leads to y = 3. We do not have multiple outputs for any given input.

The graph passes the vertical line test. This is a test where you see if you can pass a single straight vertical line through more than one point on the red line. In this case, we can't do such a thing, so the graph passes the test.

In contrast, the lower right corner fails the vertical line test because we can draw a single straight vertical line through x = 1 and have it pass through more than one point on the red curve. The same can be said about the lower right corner.

Any graph that is itself a vertical line automatically fails the vertical line test. We have a single input lead to infinitely many outputs. The whole goal of a function is to have one input lead to one output.

Example: say you wanted to convert 100 degrees Celsius to Fahrenheit. Using the proper conversion function, you would input C = 100 and the output would be F = 212. We get exactly 1 and only 1 output. If we got multiple outputs, then we'd have ambiguity of what the proper temperature conversion is.

is this really on ur test?

Step-by-step explanation:

im not that sure but i thinks its A or B

Step-by-step explanation:

The last graph (to the far right).

Step-by-step explanation:

As long as each x-value has one y-value, it is a function. However, the last graph has an x-value at -1 where there are two y-values. So, it does not pass the Vertical Line Test, and it is a relation rather than a function.

Hope this helps!