Graphed below is a function of x
.
Create a table of values for the function,
estimating their values to the nearest CORRECTOFFSET
.
Enter at least 5
different points.
x |
y |
You can look at a function in many different ways, including by its equation, its graph, and by a table. Here, we have the graph of a function, and we want to identify some input-output pairs to write in a table.
To represent the function as a table, take any five points on the graph, and list them in the table.
For example, we can look at the point with an
x
-value of
EXAMPLES[0]
.
The y
-value at this point is
round(2 * FUNC(EXAMPLES[0])) / 2
,
which we find from the graph.
To record this in our table, put
EXAMPLES[0]
in the x
column, and
round(2 * FUNC(EXAMPLES[0])) / 2
in the y
column.
We can do this with 4
other x
-values,
such as
EXAMPLES[1]
,
EXAMPLES[2]
,
EXAMPLES[3]
,
and EXAMPLES[4]
.
We can find the y
-values at these points
by finding them on the graph as well.
From this, five points on the graph are:
(x, round(FUNC(x) * 2) / 2)
Graph the function that is defined by the table below.
x
|
y
|
x+"\\hphantom{.0}"
|
(function() {
var y = FUNC(x);
var str = localeToFixed(roundToNearest(0.5, y), 1);
if (Math.abs(KhanUtil.roundToNearest(1.0, y) - y) < 0.25) {
str = str.replace(/(.{2})$/, "\\hphantom{$1}");
}
return str;
})()
|
You can look at a function in many different ways, including by its equation, its graph, and by a table. Here the input-output pairs are given in a table, and we can draw the graph of the function by plotting the corresponding points.
To represent the function as a graph, take all the points listed in the table, and plot them on the coordinate plane.
For example, let's look at the point
(EXAMPLES[0],
roundToNearest(0.5, FUNC(EXAMPLES[0])))
.
We need to move one of the points to this position to represent plotting it on the graph.
Now, plot the remaining four points by placing the remaining points on the pink crosses.
Create a table with at least five different points in it created from the function. Enter the values in the table as decimals.
y = FUNCSHOW
You can look at a function in many different ways, including by its equation, its graph, and by a table. Here, we have an equation, and in order to see more clearly how the function acts at few points, we are going to record information about it in a table.
To represent it as a table, pick some x
values
to plug into the equation, and record that x
and the result of plugging it into the equation
in the table.
For example, try plugging in
EXAMPLES[0]
to the equation.
When x = EXAMPLES[0]
,
y = roundToNearest(0.1, FUNC(EXAMPLES[0]))
.
Record this in the table by putting
EXAMPLES[0]
in the x
column, and
roundToNearest(0.1, FUNC(EXAMPLES[0]))
in the corresponding y
column.
Now, choose four more x
values to plug into
the equation. Let's try the numbers
EXAMPLES[1]
,
EXAMPLES[2]
,
EXAMPLES[3]
,
and EXAMPLES[4]
.
By plugging these values into the equation, we get:
x = x, y = roundToNearest(0.1, FUNC(x))