t
l*.-* q
chss:
Date:
Calculus Preparation Chapter Study Team Test
Find all intercepts:
9
!=x2-8x+15
a.
b.
c.
d.
e.
x-iotercepts: (5,0), (3,0); y-intercepts: (0, 5),
(0, 3)
;r-intercept: (-15, 0);y-intercepts: (0, 5), (0,
3)
r-intercepts: (5, 0), (3,0); y-intercepts: (0,
I 5), (0, -15)
x-intercept: (3, 0); y-intercepf (0, I 5)
x-intercepts: (5, 0), (3,0); y-intercept: (0,15)
2. Find all intercepts:
a
y=
a.
b.
c.
+b
(x+5')G
x-intercepts:
y-intercepts:
x-intercepts:
10)
x-intercepts:
(-5, A), C2,0), (2, 0);
(0,0), (0, 10)
(-5, 0), (2,0);y-intercept (0,
(-5,
A), (2,0); y-intercept: (0,
-10)
d.
e.
J.
Test for symmetry with respect to each axis and
to the origin.
t
*2y2
ab.
c.
d.
e.
4.
b
x-intercepts: (-5, 0), (-2, A), Q,0);
y-intercept (0, 10)
x-intercepts: (-5, 0), (-2, 0), (2,0);
pintercept: (0, -10)
:8
symmetric with respect to the origin
symmetric with respect to the x-axis
symmetric with respect to the y-axis
no symmetry
A, B, and C
Sketch the graph of the equation:
x:J-!
a
4".
ID: A
il
E:
t..
E
kr
E
4d.
{a.
4".
{r.
5.
{a.
E-
i.
Ske&h the graph of the equation:
y
I
- W+21
5a.
5
".
none
ofthe
above
ID: A
6.
-9
Find all
11.
Y23=x
a.
,\lb
b.
c.
x-intercepts: (0,0), (5,0), (-5,0); y-intercept:
(0, -25)
x-intercepts: (0,0), (5,0); y-intercept: (0, 0)
x-intercepts: (0,0), (5,0), (-5,0); y-intercept:
d.
e.
x-intercepts: (0,0), (5,0); y-intercept: (0, 5)
x-intercepts: (0,0), (5,0), (25,0); y-intercept:
(0,0)
8.
0c
13. Find
an equation of the line that passes through
the point
and passes through the
point (4, 8), through which of the following
points does the line also pass?
(-l
. : |.2'
1, - 9) and has the stop"
9-r- r8\/t
.l=
r't
(1,20)
b.
(r, t2)
c.
(1, 0)
d.
(8, - 16)
(8, -24)
e.
12. Find the y-intercept of the line x + 4y = 8.
(0,0)
If a line has slope m : -4
a.
Find the slope of the line x + 3y = 15.
t4. Write an equation of the line that passes through
the given point and is perpendicular to the given
line.
Sketch the line passing through the point
with the
(3,4)
-/
rr.p" -*
Point
Line
(-t,-z)
x=6
rtk
15. Write an equation of the line that passes through
the point
,\2
[;,*J
and is parallel to the line
L4--
- S.
7x-3Y
)c -zr{l *5s:
!3.
U 2tl
D
x-gA't
4=7x-ST
re,1
10.
()
*,rtt
A moving conveyor is built to rise 1 meter for
every 5 meters of horizontal change. Suppose the
conveyor runs between two floors in a factory.
Find the length of the conveyor if the vertical
distance between floors is 10 meters. Round your
answer to the nearest meter.
t/
6l
1
v
5
q
2
",
e-
Zrrt
I
i
1
+
+-
a
t
I
I
> lol + go?
too t Lfoo
w
FL= 7*aa
K?
i
1
r-1 ,t I \ I
t23t1sto1
I
*loE4
z+ t00
ni'
I
ID: A
16. A company
.
C'-
reimburses its sales representatives
$ 175 per day for lodging and meals plus 451 per
mile driven. Write a linear equation giving the
daily cost C to the company in terms of x, the
number of miles driven. Round the numerical
values in your answer to two decimal places,
where applicable.
0..tSxt\16
Determine whether
y-5x2
=6
y is a function of x.
y=
{xz+
Givenfix) = cos.x andg(x) =
: -6x- 5
b
t*,
(osrr=
17. Evaluate (if possible) the functionf.r)
at x = -2. Simplifr the result.
Id
evaluatefig(2)).
-l
Determine whether the function is even, odd, or
neither.
18. Evaluate (if
at
x:9.
possible) the functionflx) =
Simpliff the result.
$-
19. Letf(x) : l4x+8. Then simpliff the expression
-fix)-4gl
Determine which type of function would be most
appropriate to frt the given data.
n-'
u-o?
b(x-q
x-9
\q
)
20.
Find the domain and range of the function
-flx):
D: [-d, ,o)
s
.frx) =xstn2x
*' -6-
tu,4
21.
{z*+t
x<o
Evaluate the function "frx) = {
lyz*+2, x
>0
fls).
P[t)=
\z
b.
exponential
linear
c.
quadratic
d.
no relationship
trigonometric
a.
e.
(ato*t,a ?rffiu"'^ Sfad, T<amfust
(1./uo/an,
l{a,*
?ea
26. Hooke's Law states that the force F required to
compress or shetch a spring (within its elastic
limits) is proportional to the distance d that the
spring is compressed or stretched from its original
length. That is, F = kd where fr is a measure of
the stiftess of the spring and is called the spring
constant. The table shows the elongation d in
centimeters of a spring when a force of I'
newtons is applied. Use the regression capabilities
of a graphing utility to frud a linear model for the
data. Round the numerical values in your answer
to three decimal places.
F
20
40
60
80
100
d
1.9
3.8
5.7
7.6
9.5
=,04{F
27. A V8 car engine is coupled to a dynamometer and
tfoe horsepower y is measured at different engine
speeds.r (in thousands of revolutions per minute).
The results are shown in the table below. Use the
regression capabilities of a graphing utilrty to find
a cubic model for the data. Round the numerical
values in your answer to three decimal places,
where applicable.
x
1
2
)
4
5
6
v
64
109
t64
224
249
269
q -- -1, FCIbx3 */1,#gx f lb,ntrfr *3r'
T
28.
Find the points of intersection of the graphs of
the equations:
7
x=! -J
!=x+L
(-2,-r)
Lt,
z)
ID: A