Question

Given {(-1,4),(-1,9),(-1,15),(-1,0)}Find the following.Domain=Range-Determine if it is a Function or Not?

Answer 1

Given the relation:

`\left\{ \left(-1,4\right),\left(-1,9\right),\left(-1,15\right),\left(-1,0\right)\right\}`

The domain of the relation is the set of all values of x.

Therefore:

`\text{Domain}=\left\lbrace -1\right\rbrace`

The range of the relation is the set of all values of f(x) or y. The range is:

`\text{Range}=\left\lbrace 0,4,9,15\right\rbrace`

For a relation to be a function, it must have no more than one y value for each x value.

Since the given relation has more than one y value for each x value, it is NOT A FUNCTION.