©
:
Pre

Calculus

Chapter 4A
Example 2
:
Many functions are programmed into your calculator. Use the
functiontofindthe
outputs for the following inputs.
Input
Output
25
9
0
1
4
−
4
a) What output did you get for
−
4?
b) List 4 numbers that are in the domain of
y
x
and 4 numbers in its range.
Solution:
Input
Output
25
25
5
99
3
00
0
1
4
1
4
1
2
−
4
−
4
ERROR
a) ERROR on your calculator means that
−
4
is not a real number. Therefore,
−
4 is not in the domain
of the function.
b) Answers will vary. Domain will be numbers you key into your calculator (input). Range will be the
output numbers that the calculator provides on your screen.
Example 3
:
Which of the following represent functions? Determine the domain and range of each
set.
a)
2,5
,
−
1,6
,
5,7
,
8,5
,
2,4
b)
95,
A
,
82,
B
,
92,
A
,
62,
D
,
74,
C
,
85,
B
,
58,
F
,
77,
C
c)
xy
−
15
03
1
−
1
2
−
3
3
−
5
d)
Input 62136
O
u
t
p
u
t79475
Solution:
a) Not a function. 2 is paired with both 5 and 4. Domain:
2,
−
1,5,8
Range:
5,6,7,4
b) Function. Domain:
95,82,92,62,74,85,58,77
Range:
A
,
B
,
C
,
D
,
F
c) Function. Domain:
−
1,0,1,2,3
Range:
5,3,
−
1,
−
3,
−
5
d) Not a function. 6 is paired with both 7 and 5. Domain:
6,2,1,3
Range:
7,9,4,5
©
:
Pre

Calculus