Vocab
Data you can count.
Data that can change.
(need to get both right for full points)
What is Discrete and Continuous
One way to show a exponential equation visually.
What is table or graph
Show me a point-slope form linear equation.
What is any response that is a point-slope equation.
Ex: y=10(x-11)+110
A explicit equation.
Any response that is a explicit equation.
Ex: f(x)=-7x+7
A recursive equation.
Any response that is a recursive equation.
Ex: f(x)=f(x-1)-7 f(0)=7
A number that is added or subtracted to get from one number to the next.
A number that is multiplied to get from one number to the next.
(need to get both right for full points)
What is constant difference and common ratio
A exponential equation.
Any response that is a exponential equation.
Ex: y=7(7)x
A linear equation.
Any response that is a linear equation.
Ex: y=-7x+7
Write an equation.
x y
1 | 2
2 | 4
3 | 8
4 | 16
What is f(x)=2(2)x-1
Write an equation.
x y
1 | 2
2 | 4
3 | 6
4 | 8
What is f(x)=f(x-1)+2 f(1)=2
A sequence that uses addition and subtraction by a constant difference (common difference).
A form of sequence that uses ratio between outputs.
(need to get both right for full points)
What is arithmetic sequence and geometric sequence
Write an equation.
x y
1 | 1
2 | 2
3 | 4
4 | 8
What is f(x)=1(2)x-1
Write an equation.
x y
1 | 3
2 | 6
3 | 9
4 | 12
What is f(x)=3x
solve.
f(x)=4y+13
f(5)=?
What is f(5)=33
solve.
f(x)=f(x-1)*2 f(1)=2
f(6)=?
What is f(6)=64
Way to disclose the pattern and first value of a data.
Quick way to find the outputs of sequences.
(need to get both right for full points)
What is recursive formula/equation and explicit equation
Solve.
f(x)=3(3)x
f(4)=?
what is f(4)=243
Solve.
f(x)=2x+3
f(7)=?
What is f(7)=17
Create a table (0-4).
f(x)=7x+21
What is
x y
0 | 21
1 | 28
2 | 35
3 | 42
4 | 49
Create a table (0-4).
f(x)=f(x-1)*1/2 f(0)=64
What is
x y
0 | 64
1 | 32
2 | 16
3 | 8
4 | 4
The average of a set of numbers (find gap between two numbers, add and divide by amount of terms; used to find amount of times a number was added).
To divide 1 number by another and find the root that is equal to the amount of terms in between them. (Basically used to find the amount of times a number is multiplied by itself to get from one number to another).
(need to get both right for full points)
What is arithmetic mean and geometric mean
Create a graph (0-4).
f(x)=4(2)x
What is
(0,4) (1,8) (2,16) (3,32) (4,64)
Create a graph (0-4).
f(x)=f(x-1)+7 f(0)=2
What is
(0,2) (1,9) (2,16) (3,23) (4,30)
You need this many terms to create a explicit equation.
What is two terms
Find the 100th term.
f(x) = f(x-1) + 5, with f(1) = 3
What is f(100)=498