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.