Question

Tell whether the realtion is a function.
Explain.

Answer 1

The relation given is a function because for each unique input value there is only one corresponding output value.

For example, when x = -4, y = -1, but when x = -3, y = 0, so there is no repeated input values with different output values.

You can also see this by using the vertical line test, if a vertical line intersects the relation in more than one point, the relation is not a function, but in this case the relation does not intersect a vertical line in more than one point, so it is a function