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}

Respuesta :

frika

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

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

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 [tex]\{-2,\ 1,\ 3,\ 4\}.[/tex]

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 [tex]\{0,\ 2,\ 6\}.[/tex]

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