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Answer :
Sure! To write a function rule based on the given statement, "The output is eleven more than the input," we can follow these steps:
1. Understand the Statement:
- The "input" refers to a number that we will substitute in the function.
- The phrase "eleven more than the input" means we need to add 11 to the input to get the output.
2. Define the Variables:
- Let's use [tex]\( x \)[/tex] to represent the input.
- Let's use [tex]\( y \)[/tex] to represent the output.
3. Write the Function Rule:
- Based on the statement, we can express the output [tex]\( y \)[/tex] in relation to the input [tex]\( x \)[/tex] as:
[tex]\[
y = x + 11
\][/tex]
This equation is your function rule. It tells us that for any input value [tex]\( x \)[/tex], you simply add 11 to get the output [tex]\( y \)[/tex].
Example:
If the input [tex]\( x \)[/tex] is 5, substituting into the function rule gives:
[tex]\[
y = 5 + 11 = 16
\][/tex]
So when the input is 5, the output is 16.
1. Understand the Statement:
- The "input" refers to a number that we will substitute in the function.
- The phrase "eleven more than the input" means we need to add 11 to the input to get the output.
2. Define the Variables:
- Let's use [tex]\( x \)[/tex] to represent the input.
- Let's use [tex]\( y \)[/tex] to represent the output.
3. Write the Function Rule:
- Based on the statement, we can express the output [tex]\( y \)[/tex] in relation to the input [tex]\( x \)[/tex] as:
[tex]\[
y = x + 11
\][/tex]
This equation is your function rule. It tells us that for any input value [tex]\( x \)[/tex], you simply add 11 to get the output [tex]\( y \)[/tex].
Example:
If the input [tex]\( x \)[/tex] is 5, substituting into the function rule gives:
[tex]\[
y = 5 + 11 = 16
\][/tex]
So when the input is 5, the output is 16.
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