Answer :
To write a function rule for "The output is eleven more than the input [tex]\( x \)[/tex]", you'll follow these steps:
1. Identify the Variables:
- The input is represented by the variable [tex]\( x \)[/tex].
- The output is represented by the variable [tex]\( y \)[/tex].
2. Understand the Relationship:
- The problem states that the output, [tex]\( y \)[/tex], is eleven more than the input, [tex]\( x \)[/tex].
3. Formulate the Rule:
- According to the relationship, the output [tex]\( y \)[/tex] is calculated by adding 11 to the input [tex]\( x \)[/tex].
- This can be expressed mathematically as: [tex]\[ y = x + 11 \][/tex]
4. Write the Function Rule:
- Therefore, the function rule that represents this relationship is: [tex]\[ y = x + 11 \][/tex]
This function rule can be used to find the output [tex]\( y \)[/tex] for any given input [tex]\( x \)[/tex] by simply adding 11 to the value of [tex]\( x \)[/tex].
1. Identify the Variables:
- The input is represented by the variable [tex]\( x \)[/tex].
- The output is represented by the variable [tex]\( y \)[/tex].
2. Understand the Relationship:
- The problem states that the output, [tex]\( y \)[/tex], is eleven more than the input, [tex]\( x \)[/tex].
3. Formulate the Rule:
- According to the relationship, the output [tex]\( y \)[/tex] is calculated by adding 11 to the input [tex]\( x \)[/tex].
- This can be expressed mathematically as: [tex]\[ y = x + 11 \][/tex]
4. Write the Function Rule:
- Therefore, the function rule that represents this relationship is: [tex]\[ y = x + 11 \][/tex]
This function rule can be used to find the output [tex]\( y \)[/tex] for any given input [tex]\( x \)[/tex] by simply adding 11 to the value of [tex]\( x \)[/tex].
