Trigonmetry
Solve on [0, 2pi): tanx = -1
x = 3pi/4, 7pi/4
See Graph #1 on board
What is an logarithmic function.
State the domain of this function: (x^2 +2)/(2x^2 - 5x - 3)
R, x cannot equal -1/2, 3
Solve on [0, 2pi): sec x + 2 = 0
2pi/3 & 4pi/3
ln e^7
7
Solve: 4^(x+3) = 16^(5x)
x=1/3
See Graph #2 on board
What is a polynomial function
What is the limit as x approaches 4 in the function:
f(x)=(x+4)/(x^2 - 16)
The limit does not exist.
θ=(-15pi)/4 lies in quadrant ...
Q1
sin pi
0
e^x + 5 = 66
x = 4.111
Is this graph of this function increasing or decreasing?
f(x)=4^(-x)
decreasing (because equivalent to f(x)=(1/4)^x)
cot(-3pi/2)
0
5pi/3 in degrees
300 degrees
e^(lnx^3)
x^3
Solve: log base2 of (x+3) = 5
x=29
State the vertical asymptotes of this function:
x / (x^2-3x+2)
x=2, x=1
(sec^2 x - 1) / (sec^2 x)
sin^2 x
Simplify:
csc^2(x)cos^2(x) - csc^2(x)
-1
cot(-29pi/6)
sqrt(3)
Solve on [0, 2pi): 2sin^2 x - 3sin x +1 =0
x = pi/6, 5pi/6, pi/2
State the horizontal asymptote of this function:
(3x^2)/(x^3 - 4x +3)
y=0
State the domain of domain of h(x)=log(-x+2)-1
x>2