Exam 3
-
Yellow Version
Name:
Instructions: There are multiple versions to protect examination integrity. Write the
answers in the underlined space provided. Each problem is worth 1 point, except #21, 22,
and 23 are worth two points each. Partial credit is possible and earned when justification
is shown.
1.
10
11.
1’
—
2.
12.
3.
13.
4.
5.
6.
14.
-
Tfk(
tc/se
15.
16.
oy
7.
c_
—
17.
c/7
8.
18.
“
25
9.
10.
19.
is’
20.
1
-)
21<
22. p(x)
—7
—6
I
4
5
6
7
C)1
\
/
N
I
D
I
I
I’3
I
—
C
L’z
—
[
0
0
+
True or False
For # 1-6, completely write either, “True,” or, “False.”
ax
1.
_=aX_hI
9
a
2. loge
3.
(z
+
axa, =
4. logo
5. loge
w)
=
logo
(z)
+ logo
(w)
axy
(zw)
= w
()
=
loge
loge
(z)
(z)
—
loge
(w)
w
6.
(ax)l =
7. Write (1O) as a rational number in standard form.
tC2
()
49
8. Write
—
as a rational number in standard form.
(
-
9. Write 54
5_287 5291
çg)
as a rational number in standard form.
5A
10. Write 125 as a rational number in standard form.
C
11. Write log
0 (10, 000,000, 000) as a rational number in standard form.
1O
12. Write logj
(‘YIö)
as a rational number in standard form.
j
13. Which is the greatest integer that is less than log
2 (20)?
3
‘a
14. Solve for x: eX
=
11.
Cu
15. Solve for x: loge(x)
=
—3.
16. Solve for x: ex
—
2
17. Solve for x: loge (x
18. Solve for x: eX
=
—
5
4)
=
5.
r_
2
.
3
e
8
—
4
-
e
2
—
+
19. Solve for x: log
2 (x
2 + 2x)
)Qc)
—
—
2 (x)
log
4.
)
2(
Ir
x
=
t
ioi2
q
1J
ca:5
+
f
C
C
ct
1)
ca)
C
o
cI
I
>
4
c
‘—
0
I’
N
c5
II
I’
c\\J
Graphing
22. Graph
p(x)
2(x + 5)(x + 2)(x
—
1)(x
—
2 + 1)
3)(x
23. Graph
r(
—
(x+4)(x-3)
2(x + 2)(x 1)(x
2 + 6)
—
24. Graph CV and label its y-intercept. (This means you should mark that point and
write its coordinates down.)
25. Graph loge (x) and label its x-intercept.
26. Graph ex + 1 and label its x- or y—intercepts (if there are any.)
27. Graph 2 log
10 (x
—
1) and label its x- or y—intercepts (if there are any.)
28. Extra Credit Graph
—
x
1
r
—
(x + 4)(x + 1)(x 5)
2)(x +8)
(x + 4)(x 2
—
—