Unit Zero
What is the definition of a function?
- Every x has its own y.
- Every input has its own output.
- Every independent variable has its own dependent variable.
What operations are included in an arithmetic sequence?
Addition / Subtraction
What operations are included in a geometric sequence?
Multiplication / Division
What does equivalent equations mean?
Algebraic equations that have identical solutions.
What does the E is PEMDAS stand for?
What is exponents?
The function gives the number of people, in millions, who own a smartphone, years after year 2000.
1. What does each equation tell us about smartphone ownership? P(-10) = 0
In the year 1990, 0 people had smartphones.
What is the recursive formula for an arithmetic sequence?
A1= _____
An = An - 1 + d
What is the recursive formula for a geometric sequence?
A1 = ____
An = An - 1 * r
What is the definition of function notation?
f(x) is the y value for a function.
How do you find the area of a square?
Area of a square = (side)2 or side * side
Use function notation to represent each statement.
In 2015, about 1.86 billion people owned a smartphone.
P(15) = 1860
What is the explicit formula for arithmetic sequence?
An = A1 + d(n - 1)
What is the explicit formula for a geometric sequence?
An = A1 * rn - 1
What do intercepts mean?
X intercepts -- y will be equal to 0.
y intercepts -- x will be equal to 0.
How do you find the perimeter of a square?
Perimeter = 4 * side or side + side + side + side
The function W gives the temperature, in degrees Fahrenheit, of a pot of water on a stove, t minutes after the stove is turned on.
W(0)=72
At 0 minutes, the water is 72 degrees.
Find the next two terms and constant difference
28, 37, 46, ___, ____
Constant Difference is 9.
Next two terms are 55 and 64.
Find the next two terms and the common ratio.
128, 64, 32, ___ , ___
16 and 8
Common ratio: divide by 2.
What is the definition of a function rule?
The explicit equation is also called the function rule.
How do you find the area of a rectangle?
Area = length * width or l * w
An art museum opens at 9 a.m. and closes at 8 p.m. The function V gives the number of visitors in a museum h hours after it opens.
Use function notation to represent each statement:
a. At 7 p.m., there were 260 visitors in the museum.
V(10) = 260
Write the recursive and explicit equations for this sequence.
28, 37, 46.....
Recursive
A1 = 28
An = An - 1 + 9
Explicit
An = 28 + 9(n - 1)
Write the recursive and explicit formula for this sequence.
2,4,8,16 ....
Recursive
A1 = 2
An = An - 1 * 2
Explicit
An = 2 * 2n - 1
What is the definition of recursive equation?
Also called the recursive formula or recursive rule.
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