Solving Trig
1
What is the vertical asymptote?
y = (2x-3)
(x-4)
x=4
What is the degree?
f(x)=12x3-15x2+1
3
What is the domain?
f(x)=3x2-5
(-inf, inf)
What is the limit as x approaches inifnity?
y = 2x2-7x+4
4x4-5x+2
1/2 (same as HA)
Solve for x. [0,2pi)
3 sin(x)=0
0 and pi
What is the Horizontal Asymptote?
y = 2x-3
x-4
y=2
What is the degree?
f(x)=(x-2)(x2+7)
3
What is the domain?
y= (x-5)(x+2)
(x-2)(x+3)
(- inf, -3)u(-3, 2)U(2, inf)
What is the limit as x approaches infinity?
y = 4x2-7x+1
2x-1
DNE -> positive infinity (SA)
Solve for x [0, 2pi)
-5=-4 + tan(x)
3pi/4 and 7pi/4
Where is the hole?
y = x2-64
x2+9x+8
(-8, 16/7)
What is the end behavior?
y=3x7-15x2+11
As x approaches infinity, y approaches infinity
As x approaches negative infinity, y approaches negative infinity
What is the domain?
y=(x+2)(x-4)
x2-6x+8
(-inf, 2) U (2, 4) U (4, inf)
What is the limit as x approaches infinity?
y = x2+x
3-x
DNE ->Negative Infinity (SA)
solve for x [0, 2pi)
sec(4x)=1
x= 0, pi/2, pi, 3pi/2
What are the x and y -intercepts?
y = a-4
2a-8
(0, 1/2)
*x=4 is a HOLE not an intercept*
What is the y-intercept?
g(x)=(3x-2)(x+7)(x-5)
(0,70)
What is the domain?
y=(x-2)1/2
[2, inf)
What is the limit as x approaches Negative Infinity?
y = 3x3-5x+1
Negative infinity (end behavior)
solve for x [0, 2pi)
cot2(x)+2cot(x)-1=-2
x= 3pi/4, 7pi/4
Graph the function
y = x+4
4x2-4x-8
VA: x =2 and x=-1
x-intercept (-4, 0)
y-intercept (0, -1/2)
HA y=0
Holes: None
Is x=13 a relative min or max?
y=13x(x-4)2(x-10)3(x-13)2
Relative minimum
What is the domain?
y=log(x+1)-2
(-1, inf)
What is the limit as x approaches negative infinity?
y = 3x-2
5x+1
3/5 (HA)