Sequence and Series
Polynomial and Rational Function
Exponents and Logarithms
Applications of Functions
Polar and Conics
100
Arithmetic vs. Geometric
1, 7, 49...
This is a Geometric sequence, and the common ratio is 7.
100
Determine End Behavior
y= -x4 +x3 -x2+1-1
as → -∞, y → -∞
as → ∞, y → -∞
100
What is the value of log327 ?
3
100
True or False
You can predict expected tree growth with applications of functions.
True
100
a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction. Is this polar or conic?
Polar
200
30, 120, 480, ...
Find the 7th term
122880
200
What is the leading term ?
1+7x^2
7x^2
200
What is the value of log81/8
-1
200
what kind of function is this?
Reciprocal Function
200
Finish the formula
r2 =
x2 + y2
300
Round to the nearest thousandth
13,26,52,...
416
300
For which values of x is the expression undefined?
x2-25/6x+24
x= -4
300
Simplify Expression
2^3x25
256
300
The cost of renting a car for one day is $40 plus $0.20 per mile driven.
Write a function that represents the cost in dollars(C) of renting a car for x miles.
C(x)=0.20+40
300
What quadrant would (3,π/3) be?
Quadrant 1
400
Recursive Sequence
an= -1+9n
a1= 8 and an= an-1+9
400
4x3+5x2+5x+1 Divided by 4x+1
x2+x+1
400
Solve for a positive value of x
log2(x)=6
64
400
Does the question y2 + x =1 represents a function y in terms of x?
No it is not a function
400
What shape would the polar curve
r=2 x cos theta
Circle
500
Find the 40th term.
255, 250, 245....
60
500
In a writing contest Bob gives Lena a 54 word head start. After t seconds, Lena has written 6t+54 from the start. How far ahead of Bob is Lena after t seconds.
-t + 54
500
A town has a population of 14000 and grows at 3% every year. What will be the population after 14 years, to the nearest whole number?
y= 21176
500
Naima has $40 to spend on refreshments for herself and her friends at the
movies. The equation 5x + 2y = 40 describes the number of large popcorns, x, and small drinks, y, she can buy. Graph the function and find the intercepts.
What does the -intercept represent? What does the x-intercept represent? Name 2 possible combinations of large popcorns and small drinks she can buy.
y - intercept = (0, 20 ) It represents the number of small drinks Naima can buy without buying any popcorn
× - intercept = (8, 0) It represents the number of popcorns Naima can buy without buying any small drinks
Two other possible combinations are: 15 drinks, 2 popcoms or 10 drinks, 4 popcorns or 5 drinks, 6 popcorns
500
Cartesian coordinates of (-4, 2π/3)
(2, -2√ 3)