Galculus BG Quiz P.l - P.6
Form A
l/o
Calcutator
Name
Period
When possible, show work to justify your answers.
1. Test for symmetry with respect to both axes and to the origin: xy3 - +YJ y-axis:
origin:
x-axis:
2.
Given:
f(x) =
+
X_
and g(x) = \FT' ,find:
a. f(g(x))
3.
4y
b.
thedomainoffog.
Determine if f is EVEN, ODD, or NEITHER.
e
Rt'-X
f(x) = s^
.
2xa +3
4.
Find an equation of the line that passes through the point ( 6,
perpendicular to the line y = 3x + 4.
- 1) and is
Galculus BG Quiz P.l - P.6
5.
Find the inverse of the function f(x)
Form A
page 2
= 5x-7.
By observing the graph, determine if the function has an inverse. Explain why or why not.
7.
Sketch the graph of each function. State the domain of each function.
a. y=2+ex
b. Y=ln(x-2)
Domain:
Domain:
Galculus BG Quiz 1.2
Form A
- {.5
Name
Period
Mo Calcotator
ln I - 3, use the graph of f to find the indicated limit, if it exists.
1. lim f (x) =
x-2
3. lim f(x) =
2. lim f(x) =
x--
x-0
-1
r>
In 4 - 6, use the above graphs. By observing each graph of a function f, explain
why f is discontinuous at:
4. (Useproblem#1)x=2 5.
(Useproblem#2)
X=-1 6.
ln 7 - lO, find the limit. Show work for credit.
7. lim_ vx+4:3
x-5
8.
x+5
v.
llm
x--0
ex sin 5x
10.
lim
cos4x-1
2x
x-0
lim
x*-3 -
9
-x2
(Useproblem#3) X=0
Galculus BG Quiz 1,2 - 1.5
Form A
Find the vertical asymptote(sl of the function
11. f(x)=
f, Justify your answer{s}.
!x+12
+x-G
xz
12. Given: f(x)= {"'*2x-1;
[ 5
itx+2
; if x=2
a. Prove f is discontinuous atx = 2.
b.
ls the discontinuity removable?
Explain your answer.
page 2
Cafcufus BG euiz 2.1 Form A
1.
Find
f
'(x)
2.2
Mo
Catcglator
Name
period
by the limit process.
f(x)=3x2+2x
2.
Given: f(x)=
r
l,^2-3; x<2
f.8x-11 ; x>2
a.
Find
c'
Determineif f iscontinuousat
f*(2).
x=2'
b.
Find f _(2 ).
d.
Findf'(2), if itexists. Exprainyouranswer.
use the theorems in section 2.2 to find f'(xl.
3.
f(x)
=
2x+ - 8-x3 +
1
x3
5. f(x)=3sinx-cosx
4. f(x)=sx + 6ff
6. f(x)=x(4-y)2
Galculus BG Quiz 2.3
Form A
For 1 - 4, find
Name
Period
f'lxl.
1. f(x) = tianx-secx
2. f (x) = x3 cscx
3x2+2x-1
3. f(x) =
Z-><
4. f(x) =
Find f"(xl.
u+2
5. f(x) = ffi
(zx+
-
1)(5xs + 6x)