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Given that D(x) = 2x, select all of the following that are true statements. D( x) is a direct variation. D( x) is a function. D( x) is a rule for the set of points (5, 10), (6, 12) and (-2, -4). x is the dependent variable. D(6) = 3

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Explanation:

I reformatted the question to clarify the statements. Please check for accuracy.

Given that D(x) = 2x, select all of the following that are true statements.

1. D( x) is a direct variation.

2. D( x) is a function.

3. D( x) is a rule for the set of points (5, 10), (6, 12) and (-2, -4).

4. x is the dependent variable.

5. D(6) = 3

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1. D( x) is a direct variation. YES. D(x) will always be 2 times x.

2. D( x) is a function. YES. Each calculated D(x) will have a unique point.

3. D( x) is a rule for the set of points (5, 10), (6, 12) and (-2, -4). YES. Each (x,y) shows a value of y that is 2 times x, as per the equation's instructions.

4. x is the dependent variable. YES. y depends on what value is chosen for x.

5. D(6) = 3 NO. d(6) = 2*(6) or 12

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