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Input is the number in the first column of the table. This is the number that you start with to follow the rule if the rule is given. You would also use this number to figure out what the rule is if it is not given. You always start with input. Output is the end number or the answer to the math equation.
An input-output table, like the one shown below, can be used to represent a function. Each pair of numbers in the table is related by the same function rule. That rule is: multiply each input number (@$\\begin{align*}x\\end{align*}value) by 3 to find each output number (@$\\begin{align*}y\\end{align*}value).
Relations can be written as ordered pairs of numbers or as numbers in a table of values. By examining the inputs (x-coordinates) and outputs (y-coordinates), you can determine whether the relation is a function. Remember, in a function each input has only one output. A couple of examples follow.
An input-output table, like the one shown below, can be used to represent a function. Each pair of numbers in the table is related by the same function rule. That rule is: multiply each input number (@$\\begin{align*}x\\end{align*}value) by 3 to find each output number (@$\\begin{align*}y\\end{align*}value).
0:00 5:15 Suggested clip Ex: Determine if a Table of Values Represents a Function — YouTubeYouTubeStart of suggested client of suggested clip Ex: Determine if a Table of Values Represents a Function — YouTube
A function table is another name for an input-output table, a table that shows how a value changes according to a rule. Input-Output Table. An input-output table is a table that shows how a value changes according to a rule.
You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain is matched with exactly one element in the range. If so, you have a function!
Input-Output tables are like machines. We put numbers into the machine, and the machine uses an operation (add, subtract, multiply or divide) to give us a result.
Lesson Summary Systems always have inputs and outputs. An input is whatever you put into a system. An output is whatever comes out of the system. For example, a computer has inputs like electricity, the movements and clicks of your mouse, and the keys you type on a keyboard.
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