Question

Please help fast! will give brainliest! which graph below represents a function?

Answer 1

Definition of a function

For something to be considered a function, any given x-value must yield exactly ONE (1) y-value.

How to check this

If, in the graph, you can find an x-value that has more than 1 corresponding y-value, it's not a function.

Note: a function can still have multiple x-values give the same y-value.

Checking our graphs against the definition

Graph 1:

The x-value of -3 gives an infinite number of y-values. Since infinity is more than 1, it's not a function.

Graph 2:

There are no x-values in this graph which give more than 1 y-value. Note that each y-value except for 0 has 2 x-values which give that value.

For example, both x = 0 and x = 2 give y = 3.

However, it can still be called a function, remember:

a function can still have multiple x-values give the same y-value

Graph 3:

Every x-value greater than -3 has several corresponding y-values. Thus, it's not a function.

Graph 4:

All x-values greater than 1 and smaller than -1 have multiple corresponding y-values. Thus, it's not a function.

Answer

The only graph that fulfills the definition of a function is graph 2, so that is the graph which represents a function!

Answer 2

Answer:

Graph 2

Step-by-step explanation:

If you do a line test by taking your utensil vertically and sliding it across, no point overlaps.