Class IX

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.

Loading Graph...

$x$x $1$1 $2$2 $3$3 $4$4

$y$y $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$

$x$`x`	$1$1	$2$2	$3$3	$4$4
$y$`y`	$\editable{}$	$\editable{}$	$\editable{}$	$\editable{}$

Question 3

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

Loading Graph...

Complete the table.

Months $1$1 $2$2 $3$3 $4$4

Savings $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
$Buzz$ estimates that he will have exactly $\$60$$60 in his savings by month $5$5. Is this true or false?
$True$
A
$False$
B

Months	$1$1	$2$2	$3$3	$4$4
Savings	$\editable{}$	$\editable{}$	$\editable{}$	$\editable{}$

Outcomes

9.CG.CG.1

The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations, plotting points in the plane, graph of linear equations as examples; focus on linear equations of the type ax + by + c = 0 by writing it as y =mx + c and linking with the chapter on linear equations in two variables.