Determine whether the following graph represents a function

A graph may or may not represent a function depending on the relationship between the x and y values of the graph.

The given graph does not represent a function

From the graph, we observe that;

The same value of x points to the different values of y.

For instance:

When x = -6, the values of y are 3 and -3.

This is a many-to-one relation.

And a many-to-one relation does not represent a function.

Also, from the graph; there are several other values of x, that point to multiple values of y

Hence, the graph does not represent a function.

Read more about functions and relations at:

link

No, it is not a function

Why not? Because the graph fails the vertical line test. It is possible to draw a single vertical line through more than one point on the graph. For instance, we can draw a vertical line through x = 1 on the x axis, and this vertical line crosses the curve at two different points.

A function is only possible if any input x leads to exactly one y output.

answer: the answer is 30 miles per hour.

ft/s -> mphmph = ft/s 1.466667mph = 44 divided by 1.466667mph = 30.00000

- r3ktforgood ☕

sample answer: you can determine whether each element of the domain is paired with exactly one element of the range. for example, if given a graph, you could use the vertical line test; if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function.