Download MATH 1151 ---- 9.27.12 Discussion 1.) Find the amplitude, period

MATH 1151 ---- 9.27.12 Discussion
1.) Find the amplitude, period, and phase shift of y = -3sin(-2x + π/2). Then, sketch the graph.
2.) Write the equation of the sine function that has an amplitude of 2, a period of π, and a phase shift of -2.
3.) Graph y = -csc(-
).
4.) For f(x) = 3x + 2 and g(x) = 2x2 – 1, find f(g(4)).
5.) For f(x) = |x-2| and g(x) =
6.) For f(x) = √
, find g(f(x+1)).
and g(x) = 1-2x, find the domain of g(f(x)) and f(g(x)).
7.) Find the inverse of f(x) =
. Find the domain and range of both f(x) and f-1(x).
8.) Find the exact value of each expression:
a. cos-1(1)
√
d. tan-1( )
b. cos-1(-1)
c. tan-1(-1)
√
e. sin-1
f. sin-1
√
9.) Use a calculator to find the value of each expression rounded to two decimal places:
a.
cos-1(0.6)
b. tan-1(0.2)
c. sin-1(-0.12)
10.) Find the exact value of each expression, without using a calculator:
a. tan-1[tan
11.) Find the inverse function
b. sin-1[sin
of each function
a.
State the domain of
b.
12.) Find the exact solution of each equation.
a. 2cos-1x = π
b. -6sin-1(3x) = π
and
.