Mr. Simondsโ MTH 65 Class - Supplemental problems about functions
Page 1 of 2
1. Suppose that
f
is the function
(
)
(
)
(
)
(
)
{
}
2, 6,5, 6, 2, 6,4, 6โโโโโ.
a. What are the domain and range of
f
?
b. What is the value of
(
)
4f?
c. What is the value of
(
)
6fโ?
2. Consider the function g shown in Figure 1.
a. What are the domain and range of g?
b. What is the value of
()
4g?
c. What are all of the values of
x
with the property that
(
)
0gx
=
?
3. Consider the function
f
shown in Figure 2.
a. What are the domain and range of
f
?
b. What is the value of
()
2f?
c. For what values of
x
does
(
)
2fx
=
?
4. Consider the function h shown in Figure 3.
a. What are the domain and range of h?
b. What is the value of
()
2hโ?
c. For what values of
x
does
()
2hx
=
โ?
5. Find
()
4gโ and
()
4g if
(
)
2
gx x=. 6. Find
(
)
2f and
(
)
6f
โ
if
()
6fx=โ
7. What is the domain of the function
()
2
25
fx x
=
โ
?
()
3.2,2
Figure 1 Figure 2 Figure 3
