Table – of values [in TABLE]
A table of values, nding the numerical values from a given formula or function.
i.e. y = 3x + 1 can generate this table:
x 1 2 3
y = 3x+1 4 7 10
Or a sequence <a
n
> = 5n
2
- 4
n 1 2 3
y=5n
2
-4 1 16 41
Example
How many arrangements are there of 8 people standing in a line? Result
Enter either
8
F1
or
8
F2
8
Example 2
How many ways can we choose a committee of 7 people from a group of 11
women and 8 men if there have to be 3 men and 4 women on the committee?
Result
Enter
1
1
F3
4
number of combinations of women
Enter
8
F3
3
number of combinations of men
Enter
1
1
F3
4
x
8
F3
3
total number of ways of
getting this committee
Example
Generate a table of values for the relationship y = 2x +7 for -3 ≤ x ≤ 4 Result
Enter the relationship into the Y1 space
2
X,
θ
,T
+
7
EXE
Enter the setting for the variable ‘x’
F5
-
3
EXE
4
EXE
1
EXE
Note:
The pitch is, how large are your steps in moving from one x-value to the next.
EXIT
then
F6
for the table of values
x -3 -2 -1 0 1 2 3 4
y = 2x+7 1 3 5 7 9 11 13 15
Factorials, Combinations and Permutations – Calculations [in RUN-MAT] cont.
CHAPTER 7 | PG 63