Answer :
To write a function rule for "The output is eleven more than the input [tex]\( x \)[/tex]", we can follow these simple steps:
1. Identify the Input and Output Variables:
Here, the input is represented by the variable [tex]\( x \)[/tex], and the output is represented by [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 Function Rule:
To express this relationship as a function rule, we need to add 11 to the input [tex]\( x \)[/tex].
4. Write the Rule:
Therefore, the function rule can be written as:
[tex]\[
y = x + 11
\][/tex]
This equation tells us that to find the output [tex]\( y \)[/tex], take the input [tex]\( x \)[/tex] and add 11 to it. This is the solution to the problem.
1. Identify the Input and Output Variables:
Here, the input is represented by the variable [tex]\( x \)[/tex], and the output is represented by [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 Function Rule:
To express this relationship as a function rule, we need to add 11 to the input [tex]\( x \)[/tex].
4. Write the Rule:
Therefore, the function rule can be written as:
[tex]\[
y = x + 11
\][/tex]
This equation tells us that to find the output [tex]\( y \)[/tex], take the input [tex]\( x \)[/tex] and add 11 to it. This is the solution to the problem.
