Rational Functions
What is the LCD of:
1/5 and 4/(5x)
5x
it depends on previous terms
When is the next election year?
"Next year"
or
"2024"
What is the relationship between sine, cosine, tangent, and cotangent, cosecant, secant?
They're reciprocals
How long is the period for cot x?
Pi
4/x^2-(4x+1)/(6x^2)
(-4x+25)/(4x^2)
Write a rule for:
5, -10, 20, -40, ...
a_n = 5 (-2)^(n-1)
This fruit is mentioned in Jack Black's latest viral song
Peaches
Name the closest positive and negative angle that is coterminal with 189 degrees.
-171 and 549 degrees
Write a rule for the sequence:
23, 19, 15, 11, ...
a_n=-4n+27
(3x)/ (x-5) = (-6)/8
x=1
sum_(k=1)^7 7k-9
133
Until when do you have to retake the final?
Wednesday 05/31/23
Convert 455 degrees to radians
7.941
pi
Find the LCD for:
1/(x^2+3x-40) and 1/(x-8)
(x-8)(x+8)(x-5)
5/(x^2-4)+2/(x+4)
(7x-8)/((x-4)(x+4))
sum_(k=1)^oo -5(1/3)^(k-1)
-7.5
When does summer officially start?
June 21st
Describe the transformation in:
4 cos 2x -3
Vertical Stretch by a factor of 4
Horizontal Shrink by a factor of 1/2
Vertical shift 3 units down
Identify the 5 key points for
cot (1/2 x)
Asymptotes, x=0 and x= 2pi
intercept: (pi, 0)
Halfway:
(pi/2,1) and ((3pi)/2, -1)
-10/(3x-5) = (5x+1)/(9x-15)-7/(3x-5)
x=-2
Find the 6th term of the sequence:
a_1= 1
a_n= a_(n-1) + 4
21
What popular restaurant has a siren as their mascot?
Starbucks
Find the 5 key points for the function:
-tan(x)+1
(0,1)
x=-pi/2 and x= pi/2
(pi/4, 0) (-pi/4, 2)
Write an arithmetic rule for:
a_12=9 and a_27=15
a_n=2/5n+4.2