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The function ColorData contains a list of predefined colors. Type ColorData["Legacy", "Names"] to see an extensive list of named colors. To see the RGB formula, replace "Names" with the name of the color within quotes.
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There are two graphics options that can be used to label graphs. PlotLabel specifies an overall label for the graph.
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PlotLabel "description" labels the graph with a title.
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AxesLabel allows one or both axes to be labeled with an appropriate description.
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AxesLabel None specifies that neither axis should be labeled. This is Mathematica s default. AxesLabel "label" specifies a label for the y-axis only. AxesLabel {"label"} specifies a label for the x-axis only. AxesLabel {"x label","y label"} specifies labels for both the x- and y-axes. AxesLabel Automatic specifies that the independent variable used in the Plot command should be printed along the horizontal axis.
EXAMPLE 15
Plot[Sin[x], {x, 0, 2o}, PlotLabel "GRAPH OF Y = SIN X", AxesLabel {"Values of x","Values of sin x"}]
GRAPH OF Y = SIN X Values of sin x 1.0
1 0.5
Values of x
1.0
PlotLegend is a useful option that can be used to label the graphs in a legend box. It is contained within the package PlotLegends`, which must be loaded prior to its use.
PlotLegend[{"text1","text2", . . .}] attaches text1, text2, . . . to each description specified in PlotStyle. LegendPosition {a, b} specifies the position for the lower-left corner of the legend box. The center of the graphic is position (0, 0) and the longest side of the graphic runs from 1 to 1.
LegendSize determines the size of the legend box.
LegendSize scale scales the size by a factor of scale. LegendSize {a, b} uses a and b to determine the size of the legend box. The value 1 corresponds to half the length of the longest side of the graphic.
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LegendOrientation determines the orientation of the legend box.
LegendOrientation Vertical (default) prints the descriptions top to bottom. LegendOrientation Horizontal prints the descriptions left to right.
LegendShadow determines the positioning of the shadow of the legend box.
LegendShadow Automatic is the default. LegendShadow None produces no shadow. The legend box is transparent. LegendShadow {x_offset, y_offset} moves the shadow to the right or up for positive values and to the left or down for negative values.
EXAMPLE 16
PlotLegends` Plot[{x2, 2 x2, 3 x2}, {x, 3, 3}, PlotStyle {Dashing[{.01}], Dashing[{.03}], Dashing[{.03, .08}]}, PlotLegend {"x2", "2 x2", "3 x2"}]
25 20 15 10 5 2x2 1 3x2 1 2 3
EXAMPLE 17
PlotLegends` Plot[{x2, 2 x2, 3 x2}, {x, 3, 3}, PlotStyle {Dashing[{.01}], Dashing[{.03}], Dashing[{.03, .08}]}, PlotLegend {"x2", "2 x2", "3 x2"}, LegendPosition {.2, .4}, LegendSize .5, LegendOrientation Horizontal, LegendShadow { .05,.05}]
x2 2x2 3x2
25 20 15 10 5
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If desired, graphs can be enclosed within a rectangular frame. Additionally, one or both axes of a graph can be suppressed. Frame specifies whether a frame should be drawn around the graph.
Frame True specifies that a rectangular frame is to be drawn around the graph. Frame False specifies that no frame is to be drawn (default).
Axes specifies whether the axes should be drawn.
Axes True specifies that both axes will be drawn (default). Axes False draws no axes. Axes {False, True} draws a y-axis but no x-axis. Axes {True, False} draws an x-axis but no y-axis.
EXAMPLE 18
, {x, 3, 3}, Frame True, Axes False Plot 21 x +1
1.0 0.8 0.6 0.4 0.2 0.0 3 2 1 0 1 2 3
Gridlines specifies that a rectangular grid should be drawn in the graph.
GridLines None specifies that no grid lines are to be drawn (default). GridLines Automatic specifies that the gridline positions are to be chosen by Mathematica. GridLines {xlist, ylist} specifies that gridline positions are to be drawn at the specified locations. xlist and ylist are lists of numbers enclosed within {} or may (individually) be specified as Automatic, in which case Mathematica will choose their location.
of / 2.
EXAMPLE 19 When plotting trigonometric graphs, it is convenient to have vertical grid lines placed at multiples
Plot[Sin[x], {x, 0, 2 o}, GridLines {{0, o/2, o, 3 o/2, 2 o}, Automatic}]
1 0.5
1.0
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Tick marks and corresponding labeling along the axes can be controlled with the option Ticks.
FrameTicks offers similar options along the edges of a frame when Frame True is set.
Ticks None specifies that no tick marks are to be drawn. The numerical labeling of the axes is suppressed. Ticks Automatic specifies that tick marks will be drawn (default). Ticks {xlist, ylist} specifies that tick marks will be drawn at the specified locations. xlist and ylist are lists of numbers enclosed within {} or may be specified as Automatic.
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