|
Honors AP Calculus / Mr. Hansen |
Name: _______________________________________ |
|
09/07/2007 |
|
Second Diagnostic Quiz (10 pts.)
|
1. |
State the domain and range
of each of the following functions. Use the notation style illustrated on the
board. |
|
|
|
|
(a) |
f (x) = sin x |
|
|
|
|
|
|
|
|
|
|
|
|
|
(b) |
g(x) = sin–1 x |
|
|
|
|
|
|
|
|
|
|
|
|
|
(c) |
h(x) = cos x |
|
|
|
|
|
|
|
|
|
|
|
|
|
(d) |
k(x) = cos–1
x |
|
|
|
|
|
|
|
|
|
|
|
|
|
(e) |
m(x) = tan x |
|
|
|
|
|
|
|
|
|
|
|
|
|
(f) |
n(x) = tan–1 x |
|
|
|
|
|
|
|
|
|
|
|
|
|
2. |
Without using a calculator,
estimate each of the following. |
|
|
|
|
(a) |
tan(tan–1 3) |
|
|
|
|
|
|
|
|
|
|
|
|
|
(b) |
tan–1 (tan 3) |
|
|
|
|
|
|
|
|
|
|
|
|
|
(c) |
ln 2300, given that |
