Explain how to write a function rule from the table below. Then write a function rule.
x|2|4|6|
y|1|0|-1|
Which teacher are you then? Huh? Whoa re your students?
note that y decreases by 1 when x increases by 2. So, start with
y = -1/2 x
But, -1/2 (2) = -1, and y(2) = 1. So,
y = -1/2 x + 2
Where is this a test from? just wondering so I can check.
To write a function rule from a table, you need to identify the pattern or relationship between the values in the x-column and the corresponding values in the y-column. In this case, notice that as the x-values increase by 2, the y-values decrease by 1.
To write the function rule, you can use algebraic notation. Let's call the input variable "x" and the output variable "y". The x-values in the table increase by 2 each time, so we can represent the change in x as "x + 2". Similarly, the y-values decrease by 1 each time, so we can represent the change in y as "y - 1".
Putting it all together, the function rule can be written as:
y = x + 2 - 1
Simplifying, we get:
y = x + 1
Therefore, the function rule for this table is: y = x + 1.
I just want to let all of you here know that teachers can see the answers here, too and will know that you are cheating.
If you've posted your answers here, please be advised that you are enabling students to cheat on their tests. This is a test question.