Graphs & Geometry 475
Graphing a family of functions
A family of functions differ by one or more parameters and can be
specified with a single expression. To graph a family of functions:
1. Type an expression for a family of functions on the entry line. To
specify a family of functions:
– Specify the parameters as one expression for multiple functions
using the format
f1(x) = {-1,0,1,2} * x + {2,4,6,8}
or
f1(x) = m*x | m = {1,2,3}.
– Enclose the lists of numbers or lists of variables in curly brackets.
Specify parameters to graph a family of up to 16 functions.
For example, four functions are denoted with the expression:
f1(x) = {-1,0,1,2} * x + {2,4,6,8}.
The first function to be evaluated is y = -1 * x + 2 and the second is
0*x+4.
2. Press
· to graph the family of functions specified.
Graphs & Geometry creates and displays a separate graph object for
each member of the family of functions.
Each function is labeled (f1_1, f1_2) to indicate its sequence in the
expression. You can select, analyze, or trace the graphs to explore
them.
Note: Editing a single function graph to change it to a family of
functions is not supported.
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