Exercise Set 3.1: Basic Ideas
For each of the examples below, determine whether
the mapping makes sense within the context of the
given situation, and then state whether or not the
mapping represents a function.
1. Erik conducts a science experiment and maps the
temperature outside his kitchen window at
various times during the morning.
2. Dr. Kim counts the number of people in
attendance at various times during his lecture this
afternoon.
State whether or not each of the following mappings
represents a function.
3.
4.
5.
6.
Express each of the following rules in function
notation. (For example, โSubtract 3, then squareโ
would be written as 2
)3()( โ= xxf .)
7. Divide by 7, then add 4
8. Multiply by 2, then square
9. Take the square root, then subtract 6
10. Add 4, square, then subtract 2
Complete the table for each of the following functions.
11. 5)( 3โ= xxf
12. 1)4()( 2+โ= xxg
Find the domain of each of the following functions.
Then express your answer in interval notation.
13. 3
5
)( โ
=x
xf
14. 8
7
)( +
โ= x
xf
15. 1
6
)( +
โ
=x
x
xf
16. 4
3
)( โ
+
=x
x
xh
x f(x)
-2
-1
0
1
2
x g(x)
-3
-1
1
4
6
A B
7
9
-3
0
5
4
A B
0
8
4
2
A B
-2
9
-6
1
A B
9
-6
8
4
-7
9
10
57
62
65
Time Temp. (oF)
Time
1
2
3
85
87
# of People
