Exponential Functions
Growth and Decay
Geometric Sequences
Arithmetic Sequences
Multiplying Polynomials
100
What equation will give you this table?
y=4(2)x
100
Determine whether the table represents an exponential growth function or an exponential decay function.
an exponential decay function
100
Find the common ratio of the geometric sequence 135, 45, 15, 5, ...
r = 1/3
100
Write the next three terms of the arithmetic sequence when a1 = 3 nd d = 11.
3, 14, 25, 36
100
Simplify (remember to check for combining like terms are you multiply)
x(3x2 + 4) + 2(7x - 3)
3x3 + 18x - 6
200
Evaluate the function for the given value of x.
f(x) = 4(5)x, f(3)
500
200
Identify the initial amount and the rate of growth or decay (as a percent), of the exponential function y = 1000(1.75)x
the initial amount is 1000
the rate of GROWTH is 75%
200
Write the next three terms of the geometric sequence 3, 15, 75, 375, .....
1875, 9375, 46875
200
Find the common difference of the arithmetic sequence 240, 210, 180, 150, ...
d = -30
200
Find the product of (x + 2)(x - 6)
x2 - 4x - 12
300
Name the y-intercept, multiplier, domain and range of y = (1/3)x
y-intercept = 1
multiplier = 1/3
domain = all real numbers
range = y > 0
300
Identify the rate of decay (as a percent), the decay factor and evaluate the function when x = 5 of the exponential function y = 360(0.1)x
rate of decay = 90%
decay factor = 0.1
When x = 5, y = 0.0036
300
Write an equation for the nth term of the geometric sequence 3, 6, 12, 24, ... and then find a6
an = 3(2)n-1
a6 = 96
300
Write an equation for the nth term of the arithmetic sequence
a3 = -8, a4 = -13, a5 = -18, a6 = -23
(Hint: Create a table and use DESMOS or STAT)
an = -5n + 7
300
Find the product of (2x + 1)2
4x2 + 4x + 1
400
Write the exponential function that is represented by the graph
y = 20(4)x
400
Write the exponential equation when the profits of $100,000 increase by 15% each year?
y = 100,000(1.15)x
400
Write a function that represents the sequence of figures.
an = 1(9)n-1
or an = 9n-1
400
The amount of money a movie earns each week after its release can be approximated by the sequence shown in the graph. Write a function that represents the sequence.
y = -8x + 64
400
Write a polynomial that represents the area of the shaded region.
Area is 3x2 + 10x - 48
500
The table shows the number y of views an online video receives after being online for x days. Use the exponential equation to predict the number of views the video receives after being online for 7 days.
11,092,183 (close counts! It's a prediction!)
500
The table shows the total numbers of shares of an initial public offering purchased t days after it opens on the stock market. How many shares were purchased after the stock had been opened for 6 days?
64 shares
500
Write the first three terms of the sequence for a1 = 1; an = 5an-1
1, 5, 25
500
Write the first six terms of the arithmetic sequence a1 = 18; an = an-1 - 8
18, 10, 2, -6, -14, -22
500
Find the product: (x - 7)(x2 - 3x + 2)
x3 - 10x2 + 23x - 14