Math 150 Midterm 1 – Review Problems
Section 2.1
– What is a Function?
In problems (1) through (4), find the following values for each function:
5
)
(
)
4
(
3
)
(
)
3
(
4
)
(
)
2
(
4
4
)
(
)
1
(
)
(
)
(
)
2
(
)
(
)
(
)
(
)
2
(
)
(
)
2
(
)
(
2
2
−
=
−
=
+
=
+
−
=
+
+
−
−
x
x
f
x
x
f
x
x
x
f
x
x
x
f
h
x
f
e
x
f
d
x
f
c
f
b
f
a
Section 2.2
– Graphs of Function
In problems (5) through (8), determine whether or not each equation is a function.
1
)
8
(
4
)
7
(
1
)
6
(
4
3
)
5
(
3
2
2
2
2
=
=
+
=
+
+
−
=
xy
y
x
y
x
x
x
y
In problems (9) through (12), find the domain of each function, locate any intercepts,
graph each function by hand, and then find the range of each function using its graph.
>
−
≤
<
−
−
≤
<
−
−
−
=
≤
≤
−
<
<
=
<
<
+
−
=
<
≤
−
+
=
≥
<
−
=
1
1
1
1
2
1
3
2
)
(
)
12
(
2
1
1
1
0
)
(
)
11
(
3
0
3
0
0
0
3
3
)
(
)
10
(
0
0
)
(
)
9
(
x
x
x
x
x
x
f
x
x
x
x
x
f
x
x
x
x
x
x
f
x
x
x
x
x
f
Section 2.3
– Increasing and Decreasing Function; Average Rate of Change
In problem (13) and (14), use a graphing device to draw the graph of
f
and state
approximately the intervals on which
f
is increasing and on which
f
is decreasing.
(State each answer correct to 2 decimal places)
2
6
3
12
)
(
)
14
(
5
)
(
)
13
(
x
x
x
f
x
x
x
f
−
=
−
=

This
** preview**
has intentionally

**sections.**

*blurred***to view the full version.**

*Sign up*