Function Tables.
A function table
displays the inputs and corresponding outputs of function. Function tables can
be vertical (up and down) or horizontal (side to side).
In this lesson,
we are using horizontal tables. So in out examples, out function tables will
have two rows, one that displays the inputs and one that displays the
corresponding outputs of a function.
EXAMPLE:
If you were to go to the store with £12.00 to buy some candy bars that
were £2.00 each,
you total cost would be determined by how many candy bars you bought.
Therefore, you total cost is a function of the number of candy bars you buy.
Let’s represent this function in a table. We recognize
that we only have £12.00,
so at most, we can buy 6
candy bars. We put all this information into a table:
Another example
of a function is displayed in this menu.
EXAMPLE:
Notice that the cost of a drink is determined by its
size. Therefore, the cost of a drink is a function of its size. We can
represent this using a table. Our inputs are the drink sizes, and our outputs
are the cost of the drink.
Function Table Rules.
Each function is
a rule, so each function table has a rule that describes the relationship
between the inputs and the outputs. Sometimes a rule is best described in
words, and other times, it is best described using an equation. We can observe
this by looking at out two earlier examples.
Consider our
candy bar example. Notice that for each candy bar that I buy, the total cost
goes up by £2.00. That is, if I let c represent my total cost, and I let x
represent the number of candy bars that I buy, then c = 2x, where x is greater than or equal to 0 and less than or equal to 6 (because we only have £12). This is the equation from of the rule that relates
the inputs of this table to the outputs.
Lesson 7
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