Question

What are the domain and range of the function? {(1,2), (-2, 0), (3,0), (4, 6)} Select all that apply (more than one choice is possible). a) Domain: {-2, 1, 3, 4} b) Range: {-2, 1, 3, 4} c) Domain: {0, 2, 6} d) Range: {0, 2, 6}

Answer 1

You can rewrite the function $\{(1,2),\ (-2, 0),\ (3,0),\ (4, 6)\}$ as table

$\begin{array}{cc}x&y=f(x)\\1&2\\-2&0\\3&0\\4&6\end{array}$

The domain of the function is the set of all possible values for the variable x. In your case, the domain of the function f(x) is the set $\{-2,\ 1,\ 3,\ 4\}.$

The range of the function f(x) is the set of all possible values of the variable y. In your case, the range of the function f(x) is the set $\{0,\ 2,\ 6\}.$

Answer: Domain - $\{-2,\ 1,\ 3,\ 4\}$ (option A), Range - $\{0,\ 2,\ 6\}$ (option D).