Which graph represents a function with direct variation?
1 answer:
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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
