Podcast
Questions and Answers
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Study Notes
Getting Started
- Access the quick function entry screen by pressing the button or clicking the right mouse button
- Type a function into the Functions box. Each line is a separate function.
- Press Enter
- Adding “y=” to the front of the function definition is optional for Cartesian functions (but not other types of functions or inequations)
Entering Functions
- Most occasions, you can type the equation as you see it and the graph tool will interpret it correctly
- There are a limited number of codes and keywords you need to learn to enter every possible function
Codes to Remember
- Use codes as follows:
=
>=
<
/
(followed by a space)pi
th
sqrt
3root
Fractions
- Use
/
key for fractions - Complex numerators or denominators must be surrounded with brackets
Spaces in Functions
- Spaces can determine the meaning of functions
sin2 x
equalssin x^2
sin 2x
equalssin(2x)
Polar Functions
- Enter polar functions using
r
andth
(which will be shown as
)- Example:
r = 2sin2 3th
- Example:
Inverse Functions
- Enter inverse functions by typing x in terms of y or theta in terms of r
- Example:
x = 12/y
- Example:
Inequations
- Can be drawn for Cartesian, Inverse and Polar graphs.
- Replace the
=
with>=
, or<
- Example:
y >= 3x - 7
Parametric Functions
- Enter the x and y components in terms of
t
. Separate with a comma- Example:
x = sin t; y = cos 3t
- Example:
- Parametric functions are graphed with a default domain of
0 t 20
unless otherwise specified
Implicitly Defined Relations
- The graph tool can graph any function expressed in terms of
x
&y
- If the graph tool cannot rearrange the relation, it will graph the relation using a different technique that restricts the analysis that the graph tool can perform
Complex Numbers
- Enter complex numbers in terms of
z
andi
ORcis
- Example:
z4 = 25 + 4i
- Example:
Slope Fields
- Include
y’
in your function- Example:
y' = 3x + 2y
- Example:
Plot as Points
- Plot most functions as points on the plane.
- This option is available in the Function Properties screen.
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