A function has the rule “double the input, then add 3.”

Using x to represent the input, complete the diagram with an expression for this rule. What expression represents “double the input, then add 3?”
x
Input Output Arrow
Input Output Arrow
y
Good work!
Next, determine the independent and dependent variables for this function. You can use your diagram to help you.
x
Input Output Arrow
2x + 3
Input Output Arrow
y
The independent variable is
x .

The dependent variable is
y .
Great job!
Now, write an equation that represents this function. You can use the diagram to help you.
x
Input Output Arrow
2x + 3
Input Output Arrow
y

1 answer

Based on the rule "double the input, then add 3,” we can define the function clearly in a diagram as follows:

  1. Expression for the Rule:

    • Input: \(x\)
    • Output: \(2x + 3\)
    • This can be shown in a diagram as:
      x → 2x + 3 → y
      
  2. Identifying Independent and Dependent Variables:

    • The independent variable is \(x\) (the input).
    • The dependent variable is \(y\) (the output).
  3. 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!

Similar Questions
  1. #7.Input Output Definition: A function is a rule that assigns EXACTLY ONE output to each possible input. This table DOES NOT
    1. answers icon 1 answer
  2. Input 1, 2, 3, 2, 1Output 5, 10, 15 20, 24 Definition: A function is a rule that assigns EXACTLY ONE output to each possible
    1. answers icon 3 answers
  3. Input 1, 2, 3, 2, 1Output 5, 10, 15 20, 24 Definition: A function is a rule that assigns EXACTLY ONE output to each possible
    1. answers icon 1 answer
  4. #7.Input Output Definition: A function is a rule that assigns EXACTLY ONE output to each possible input. This table DOES NOT
    1. answers icon 1 answer
more similar questions