Based on the rule "double the input, then add 3,” we can define the function clearly in a diagram as follows:
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Expression for the Rule:
- Input: \(x\)
- Output: \(2x + 3\)
- This can be shown in a diagram as:
x → 2x + 3 → y
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Identifying Independent and Dependent Variables:
- The independent variable is \(x\) (the input).
- The dependent variable is \(y\) (the output).
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Equation that Represents this Function:
- The equation that represents this function can be written as: \[ y = 2x + 3 \]
Putting it all together, we have:
- Input: \(x\)
- Output: \(2x + 3\)
- Independent Variable: \(x\)
- Dependent Variable: \(y\)
- Equation: \(y = 2x + 3\)
This summarizes the entire function and its components accurately!