Last Name:
1.)
First Name:
False
0
13.)
~*I
2.)
T~e
14.)
2xZ~3z÷Lf ~i~’.a
-its
3.)
Fain
15.)
4.)
True
16.)
5.)
Ti ike
17.)
6.)
r~e.
18.)
7.)
¶v~u.€
19.)
False.
8.)
21.)
If
10.)
22.)
3-33
11.)
12.)
‘1
5—
=
Co
2.
1f~+4
—
2
and
:-i?
20.)
a
9.)
2zt~~)/x ÷22~~ x~2
OH.
—I
23.)
2
i-2
x~3
x+z z’+ztZ
x~.LtL
24.) 2~/x+4
26.) 3x
—
2
*
a
It
—I
—S
25.)
</1—1
27.)
2(x—2)2—1
I,
S
S
z
a
I
Is
—I
-a
-2
—S
—s
-t
-t
It
Second Exam
True/False
For #1-8 write the entire word “True” or the entire word “False”.
1.) (x+y)~—x”+y~
2)~/~
• VYVV
-~
3.) ~/x+y—~/i+Ø
4.) (xy)~
zt1y’t
5.)
p~-~
6 •)“
t’~
~~yj
—
7.) a(b+c)=ab+ac
8.) 3x3
—
4x2 + x
—
2 has 4 roots.
************************************************
Algebra
9.) Find x where (x
5)3
20
7.
(z45~
zt5~
tt
-3-5
--8
10.) If g(x) is an invertible function, and g(4)
—
8, then what is g ‘(8)?
11.) Find the inverse of f(x)
byseeingiff ‘of(x) x.)
4’~x + 1 + 3. (You can check your answer
/
—3\3
~
-,
(4~3
12.) What is the implied domain of g(x)
your answer as an interval.)
54
—‘~3x
—
5 + 18x2
—
3? (Write
..)
13.) Suppose that a ~ 0 and that b2
as an integer in standard form:
—
4ac ≥ 0. Write the following number
,_b_i/b2 —4ac\2
+b~
2a
2a
0
)+c
14.)
Find
3;ct+z
6z4
9z3 + 16x2
3z2+2
—
5x
9
2x ~
~ 9xSt i~.xt_5x
-
+
7
÷9
I ZzZ÷
tt1
15.)
Find
-z
2.
2-
2x3
-7
7z2 + 1
x+2
—
C
U
2-2
~Lf-Lj
16.) What is the slope of the straight line in R2 that passes through
the points (4,3) and (6, 7) ?
-U =2
17.) Complete the square: Write 4x2 + 4z
where cr, /3,y C IR.
—
3 in the form cr(z +
/3)2
+7
LLZ
=
t
18.) How many roots does 3x2
—
2x
—
10 have?
•JZQ ‘0
roo—t-s.
2
5z
19.) Find the roots of x2
2z
10
2. ±
z±z-JIP
2
20’)
20.) Find a root of 3x3
—
4x2
—
3x
2
=
2~-)~-~-2
21.) (2 points) Completely factor 2x3 z2 13x + 6. (Hint: 2 is a root.)
(Your answer should be a product of a constant and maybe some linear and
quadratic polynomials that have leading coefficients equal to 1, and such that
any of the quadratics in the product have no roots.)
a 2.
3
LI-
is S1- ‘fZa)(~3’):
I0
5
2.
S 2ztt5x~3
C
2.S ÷Z’~&’f9
arc
0
—5-? 12
—5±7 ~2-ir-c:~
2(z)
2a3 tx2~— t3’~~
/N
(x-Z’)
cov7Iet4.~ ?octo red
6°
(zzt+Ex —3)
/
Z(x+3’)
“9-5,7-
It
I’
~;z~’*5x~S
4~arni
2(x.~.3)(’x-
~)
(x-’~5
22.) (2 points) Completely factor 2x3 + 6z2 + 8x + 8. (Hint: -2 is a root.)
(Your answer should have the same form as described in #21.)
2x2÷z~. ‘I’
~1+
1
2.
-8
LflQ
i’s
so
(z~ 2.
k16
LZL).
it -3Z<O
rot
ctoteJ £rni
z~3,~1a, 8.x.tS
/N
/\
(zZtx*Z’~
*** * **** ** ** * **** ** * *** ** ** ** ** * * ** * ** ** *** *** * *
Graphs
23.) List all of the monic linear factors of p(x) that you know of from the
graph below,
a
r~tb
6
/
/
24.) Grap
7
~ twt~
tecti,yi
25.) Graph
2 z
and label its x- and y-interce ts.
x-~t~ 2 x+t tQ
(~)
lect’!.
~intt
1 and label its
-
z.Ja~7=L#
and y-interce ts.
A
26.) Graph 3x
e_~b.rt:
I~h1~
—
~3 ~t~2
2 and label its x- and%j-intercepts.
3,e-tco ~)
W30-2 ~-z
27.) Graph c~x ~ çj... and label its vertex. (You don’t have to be
accurate with ~e x- a y-i rcepts.)
S
ae~
r~2-