Question

Here is a table of values y=f(x).

Answer 1

A. False. The range of
`f(x)` is the set of values it can produce. In the table,
`f(x)` produces values from
`0` to
`3`. However, the range of all real numbers is all rational numbers, basically from
`-\infty` to
`\infty`, not just a few numbers in-between. So, the range of
`f(x)` is not all real numbers.

B. True. Looking at the table, when
`x=-3`,
`f(x)=2`. This is another way of saying that
`f(-3)=2`, which is what B is saying.

C. True. The domain of
`f(x)` is the set of values of
`x` that produce some output in
`f(x)`. Looking at the table, all of the
`x` values listed on it are in the set
`\{-5, -3, 0, 2, 6, 7, 9, 10, 13\}`, which is what C is saying.

D. False. Looking at the table, when
`x=0`,
`f(x)=3`. This is another way of saying that
`f(0)=3`, which is not what B is saying.