Question

Which sets of ordered pairs below describe a function? I. open curly brackets left parenthesis 2 comma space 3 right parenthesis comma space left parenthesis 2 comma space 4 right parenthesis close curly brackets II. Syntax error. III. open curly brackets left parenthesis 3 comma space 0.3 right parenthesis comma space left parenthesis minus 3 comma space 0.3 right parenthesis close curly brackets IV. open curly brackets left parenthesis minus 2 comma space 2 right parenthesis comma space left parenthesis 2 comma space minus 2 right parenthesis close curly brackets

Answer 1

Answer:

The sets of ordered pair which are functions are;

III. {(3, 0.3), (-3, 0.3)} and IV. {(-2, 2), (2, -2)}

Step-by-step explanation:

The given ordered pairs are;

I. {(2, 3), (2, 4)}, III. {(3, 0.3), (-3, 0.3)} IV. {(-2, 2), (2, -2)}

A combination of ordered pair represent a function if each input is associated with only one output

Therefore, we have;

For I, the single input value, 2 maps to two output values, 3 and 4, therefore, the set of ordered pair {(2, 3), (2, 4)} does not describe a function

For II, the input values, 3 and -3 maps to the single output value, 0.3, therefore, each input has only one output and the set of ordered pair {(3, 0.3), (-3, 0.3)} describes a function

For IV, the input values, -2 and 2 maps to the output values, 2, and -2 therefore, each input has only one output and the set of ordered pair {(-2, 2), (2, -2)} describes a function