Exam 3
-
Blue 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.
1f t5?
11.
2.
ift
12.
3.
4.
ci
Tr
5.
13.
14.
)
3
C
03
e
15.
hl5e
6.
i(
7.
8.
16.
17.
Le(
‘
&—
18.
9.
10.
s
19.
i?
20.
l:t
2
22. p(x)
(7
-‘7
(
S
23, r(x)
J5-4-3-2-i
0
H
I”
24. ex
26. ex+2
/
(-oI1
I
I
I
—4—3—2—1
—1
I
I
1
2
I
3
4
—2
—3
—4
25. 1og (x)
27. 2 log
10 (x
—
1)
4
3
2
1
-
I
I
/
I
I
I
—4 —3 —2 —1
1
45
.2
I
3
4
2)
/
—3
—4
28.r(x)
I
I
I
(7_6_5_4_32
10
1
2
3
4
5
6
7
True or False
For # 1-6, completely write either, “True,” or, “False.”
1. (ar)Y
2. log
0
=
()
3. axa!
=
ar”
—
0 (z)
log
—
0 (w)
log
a’
4. 1
log
(
z’)
5.
=
w
=
wlog
(
0
z)
’
1
a
=
a
6. log
0 (z + w)
=
0 (z) + log
log
0 (w)
7. Write (1O) as a rational number in standard form.
1°
as a rational number in standard form.
8. Write
C
9. Write
1 -S—
58 5_119 5114
as a rational number in standard form.
10. Write 81 as a rational number in standard form.
()3
11. Write log
10 (10, 000,000) as a rational number in standard form.
(
12. Write log.i
ofl
(‘YiO)
as a rational number in standard form.
(
V
;L
‘U
13. Which is the greatest integer that is less than log
9 (70)?
14. Solve for x: eX
=
26.
10
15. Solve for x: log(x)
=
—7.
16. Solve for x: eX + 9
14.
=
()
17. Solve for x: 1og (x + 7)
=
6.
e.
6
18. Solve for x: ex
=
24
.
2
e
21
2 .t
*
-t
I
e
19. Solve for x: log
2 (x
2
10
=
—
3x)
—
2 (x)
log
x
=
3.
I
4
I
C
C
C
cr’
i
,-
j—
1
p
D
0
—
U’
C
C
+C
+
C
Ii
çJ’
cJ-’
H\j
Ii
‘I
1-
H
y
Graphing
22. Graph
p(x) =5(x+4)(x+4)(x—3)(x—6)(x
+3)
2
p ()
23. Graph
-(x+4)(x-3)
rx
()
+6)
2
2(x+1)(x—5)(x
-) )c’
o)
—xl
(
24. Graph ex 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 + 2 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
—
rx
(x + 4)(x + 1)(x 5)
+8)
2
(x+4)(x—2)(x
—
N