How to Draw a Graph
Draw the x axis., Draw the y axis., Calculate the values of y for several values of x., Mark the ordered pairs on the graph., You have created a graph of the function f(x) = 2x.
Step-by-Step Guide
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Step 1: Draw the x axis.
Make a horizontal line on the paper.
You may draw arrows on the ends of the line to indicate it is a number line that continues past your data sample.
Put the label "X" to the right of the line to indicate the x axis.
Mark the center of the line with a vertical tick mark and label it
0.
This is the origin of the graph.
Make equally spaced tick marks on the rest of the x axis.
For this example you should label the tick marks from 1 to 10 on the right side of the
0. -
Step 2: Draw the y axis.
Make a vertical line that passes through the origin of the x axis.
Put the label "Y" above the line.
Make equally spaced tick marks on the y axis.
For this example you should label the tick marks from 2 to 20 above the
0. , We will be drawing a graph using the function f(x) = 2x.
This means that y = 2x.
For every possible value on the x axis there will be a corresponding value on the y axis.
To calculate the value of y, plug a number into x.
If x= 3 then f(x) =
6.
Only positive values will be used in this example.
Set x = 0, 2, 4, 6, and
8.
The corresponding y values are 0, 4, 8, 12, and
16.
The result is a set of ordered pairs represented with the x, or abscissa, first and the y, or ordinate, second.
For our example we will have five ordered pairs: (0,0), (2,4), (4,8), (6,12), and (8,16). , Count over on the x axis then count up on the y axis.
The value of y is marked on the the graph above the x value. , -
Step 3: Calculate the values of y for several values of x.
-
Step 4: Mark the ordered pairs on the graph.
-
Step 5: You have created a graph of the function f(x) = 2x.
Detailed Guide
Make a horizontal line on the paper.
You may draw arrows on the ends of the line to indicate it is a number line that continues past your data sample.
Put the label "X" to the right of the line to indicate the x axis.
Mark the center of the line with a vertical tick mark and label it
0.
This is the origin of the graph.
Make equally spaced tick marks on the rest of the x axis.
For this example you should label the tick marks from 1 to 10 on the right side of the
0.
Make a vertical line that passes through the origin of the x axis.
Put the label "Y" above the line.
Make equally spaced tick marks on the y axis.
For this example you should label the tick marks from 2 to 20 above the
0. , We will be drawing a graph using the function f(x) = 2x.
This means that y = 2x.
For every possible value on the x axis there will be a corresponding value on the y axis.
To calculate the value of y, plug a number into x.
If x= 3 then f(x) =
6.
Only positive values will be used in this example.
Set x = 0, 2, 4, 6, and
8.
The corresponding y values are 0, 4, 8, 12, and
16.
The result is a set of ordered pairs represented with the x, or abscissa, first and the y, or ordinate, second.
For our example we will have five ordered pairs: (0,0), (2,4), (4,8), (6,12), and (8,16). , Count over on the x axis then count up on the y axis.
The value of y is marked on the the graph above the x value. ,
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Benjamin Cole
A passionate writer with expertise in home improvement topics. Loves sharing practical knowledge.
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