MATH115 PRECALCULUS 100pts TEST 2 FALL2}llPage 1

4prs 1. Graph 3x - 5y : 15 t .ffqph p6.p,l

4ptsZ.If f(x):4x3 + 2x2 + 3x find f(2a)

{.643' a(&,*f LA;}G), ffiffi 6o

ft,q) ''i ./','

4pts 3. Is the following a function? Why or why not?

pts 4. What is the domain and range for the function below?

9,-,,,^,"".t.

./.D

^slntkl,i5,u

R

f(-r= &t)+t -&-,ffCI= (.r)3+& =pg\

[3x+5apt$ s) If f(x) = l, --/ ixi+2

l1 /i'.. .. .-

3l

determine f(-1) and f(a)x<2x>2

5pts r-6) Given f (*) : x2 - 3x + 2 - , f(x)-f(a)TIIIO- x-a

k -o'.-

(r=a*x*$ --V-a-

5pts (f)Given r i"l : i'* s* + 2 find f(x + h) - f(x)

h

C*i@tr-€n

.(x, +&xi.+h1 *,* #, 6 _f$ . a----

n

{x-qTx +q) - 3(x-C\/-#-

k*c-'

./^,;lfl{ ,tY+t'r ],/

-*----*ti ,'a-{-- ' -'} i

i ,lx*tt+ r-l

TNSTRUCTOR: CARLA MORRISNAME: i

.,# pa,coo.c

nh ae{ *tnrtr prlf

MATH115 PRECALCULUS 100pts

4pts 8. Find the equation of the line u

TEST 2 FALL2OIIp.2

INSTRUCTOR: C. MORRIS

passes through (5, 3)

4pts 9. Find the equation of the line passing through (2,1113) and (8, 5/3)tW -?u ---ry -Jla-7 -6 '6- 4-b(rS

3-'u'l'-&x +tTs

4pts 10. Are the lines y = (312)x + 2 and3x - 2y: 6 parallel, perpendicular, or neither?Explain your answer using slopes to guide you.

(\f1a na =7e

5pts 11. Graph f(x):(*-l)2 -q SAtrfAyAAa

5pts 12. Graph f(x)=,,3-8 Se* fl%ryq+7 sea-T?W,7O-rp"-,13.Graphf(x):-lx+21

14. Graph f (x): [4x ]

15. Given f (x): 4xa + 5x3 - 6x and g(x) : 6x4 -2x3

4pts a) Find (f + gxx) foO t,cd*)

@'g-t

3X-at= 6&u =3x -tbq- %x-s

5pts

5pts

8. Find the equation of the line with slope 6

$- 3 = 60,-0

ht=% tO l,rveA

({r{*S.P-qX c,#-af-$

1 @-N-{ +-{G>g-s},e-* *'d,,xr - k

MATH115 PRECALCULUS 100pts TEST 2 FALL 2011p.3

5pts 16. Find f -'(*) if f (x):4x r 3

1--'lxt:X. {tlt3.\:3'{5

5pts 17. Find r-'(*Yirr(*J : -2

Qffila--g = 55

INSTRUCNAME:

l"'(x) = k*z-27-

b=6xr#-ak = (Sh+11--]

(vod; i{e,QJIta --S.d+t

.-- \l\ .4c*

of a diameter (6, 8) and(21,16)

Y-Yr=m(x*x1)

IIlt = IIl2

-'k)= kW- -tt

*fffi-)=y4pts 18. Is the

srHLt€qchx hn: lt a^"a@ y-VAt\

5pts 19. Find the equation of the circle centered at the origin with a diameter of 13 units.

r* 13fuf+6pts 20. Find the

midq+CaNo(

d*.lr+'JEeq: : \l

Some formulas you may need

a=ffi(* - h)2+ (y - k)'= 12

m1 = -llm2

+f - lG%{

/ o+a"rt\tAtqF'(*, t0

( xr+x, yr +yz )12'2 )

Y:mx+b

2r=d