This Exploration demonstrates how to use MIC Automatic grapher.
Instructions - (using the grapher at bottom of screen):
- Drawing the graph of an equation
To graph the function f(x) = 2x+1
- Type "2*x+1" into the f(x)= box. Notice that the symbol for multiplication "*" must be typed in.
- Ensure that the rad button at top right is active (the deg button is only used when graphing trigonometric functions that are in degrees).
- Set the window size by changing the values for the axes in the boxes at top of screen. To reset the window to the original settings, click Reset Window.
- Click the checkbox at the immediate right of the function box. A tick should appear. Only equations that are ticked will be graphed.
- Finally, to draw the graph (in red) of the equation f(x) = 2x+1, click Graph. Up to four graphs can be drawn at any one time. Each equation and matching graph has a different colour.
- If you point the mouse at a region of the graph, the coordinates that the arrow points to are displayed.
- To zoom in on a region, point the mouse at the coordinate and left-click, then press the key 'F10'. To reset click Reset Window.
- Built-in symbols and functions
The automatic grapher supports the following operations:
+ addition
- subtraction
* multiplication
/ division
^ exponentiation
( open parenthesis
) closed parenthesis
and the following symbols:
x the function variable
pi the constant pi
e Euler's number
and the following functions: (the brackets are essential)
sin(x)
cos(x)
tan(x)
abs(x) absolute value
log(x) the logarithm to base 10
ln(x) the natural logarithm (to base e)
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