# Input and Output tables from Graphs

Lesson

Remember that every graph has an $X$X-axis and a $Y$Y-axis.

The numbers on the $X$X-axis are sometimes called the inputs, while the numbers on the $Y$Y-axis are called the outputs.

We're going to practice completing tables of inputs and outputs given a graph.

#### Worked Example

##### Question 1

Given the following graph, fill in the table.

 $X$X $2$2 $4$4 $6$6 $8$8 $10$10 $12$12 $14$14 $16$16 $Y$Y

Notice on the graph that when the input $X$X is $2$2, the output $Y$Y is $1$1.

We can fill this output in the table.

 $X$X $2$2 $4$4 $6$6 $8$8 $10$10 $12$12 $14$14 $16$16 $Y$Y $1$1

We can use this method to fill in the entire table like so.

 $X$X $2$2 $4$4 $6$6 $8$8 $10$10 $12$12 $14$14 $16$16 $Y$Y $1$1 $2$2 $3$3 $4$4 $5$5 $6$6 $7$7 $8$8

#### Further Examples

##### Question 2

Given the following graph, fill in the table.

1.  $X$X $Y$Y $1$1 $2$2 $3$3 $4$4 $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$

##### Question 3

Buzz recorded his savings (in $pounds$pounds) over a few months in the graph given.

1. Fill in the table.

 Months Savings $1$1 $2$2 $3$3 $4$4 $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
2. Buzz estimates that he will have exactly $£60$£60 in his savings by month $5$5. Is this true or false?

False

A

True

B

False

A

True

B