Question
Determine whether each relation is a function.(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
y=2x3
Identifying Functions From Tables
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Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
y=2x3
Identifying Functions From Tables
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Answers
GPT-4o mini
To determine whether the relation \( y = 2x^3 \) is a function, we need to check if each input \( x \) corresponds to exactly one output \( y \).
In this case, for every value of \( x \), the expression \( 2x^3 \) provides a unique value of \( y \). No \( x \) value will result in more than one \( y \) value, which satisfies the definition of a function.
As for identifying functions from tables, if you have a set of input-output pairs, you would check to ensure that no two different inputs (x-values) have the same output (y-value). If they do, that relation would not be a function.
If you have specific tables or relations to discuss, please provide that information for further analysis!
In this case, for every value of \( x \), the expression \( 2x^3 \) provides a unique value of \( y \). No \( x \) value will result in more than one \( y \) value, which satisfies the definition of a function.
As for identifying functions from tables, if you have a set of input-output pairs, you would check to ensure that no two different inputs (x-values) have the same output (y-value). If they do, that relation would not be a function.
If you have specific tables or relations to discuss, please provide that information for further analysis!