Winter 2014 Math 102 Sec 18 Final Exam
(70ltve-7)77
Name:
(5pts. each, total 10Opts+2 bonus pts.)Ple.ise show your work neat and organized; label each problem and box
your answer. Thank you!
1.
Solve the following inequalities. Graph ani state your solutions by interval notations OR set notations.
(
a)
-4 5_ 3x + 2 < 15
___G.0,44w,„
1 - 07 / --3 -.) dy
{ -)(
3
e yvv‘"AN■PAre a
1 3 cry [x
>
--6
_IL.
31 5_ -7
- 441,,t,m4,i,,
(
vt44144
>
a)/„. 3
( ---2--,
2. Sketch the graphs of the following functions (a) -(d) a
nswer the LiutAion (e) a d (f
x2
(b) -5x + 6
C-6,
(c)_31x +
( CO
(a) f(x) = Vi -- 3+ 4
t
i
1 H 4
4
(3,4)
u
5: X <,--ii_
• —c) .:
1 - t s x .c_ / 3
60 cY
iu
-
I
X
--1–
,
f.),)
(b) g(x) = -2x 3 - 1
T(x)= 3'
1
I
X
(-I, )
I
H(x) = log 3 x
(e) What is domain of function f? )( I >,
0
33
(
1,
/ , - 3)
*Are functions T and H inverses to each other? Justify your answer.
3.
(a)Divide 2x 3 - 7x 2 + 5 by x - 3
e9(11)
—4
?)( 2.--
(b) Divide 8x 4 + 6x 2 - 3x + 1 by 2x 2 - r + 2
(5
igt
.??(
r
.(,) -7 x t
4. Given p(x) =x 4 + 3x 2 - 4
(a) Find all the zeros
±
, t
(b) Factor p completely ()(
(c) Is p even, odd or neither? kvelk
(d) Is p an one-to-one function? M .
5. Solve e followi g equations:
Hog(x-1)=1
(b) 2 1 cig
1
16
(c) X
6. (a) Find the 9 th term of the sequence
1, Ari, 2, ...
(b) Evaluate Ea 1 (-2k + 1)
(c) How many terms of the ari
eqJence -3, 2, 7, ... must be added together for the sum of the series to be
116? (Hint: Write the last term in terms o a l and n)
—
3, o?,
.-(-erkv\
t14
/d.
6
Ls-
3 2.3y
swv
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