Slope
I have the following points on a line: (1, -5), (4, 7), (10, 31)
What is the slope based on the given points?
(7 - -5) / (4-1) = 12/3 = 4
(31-7)/(10-4) = 24/6 = 4
I have the given function y = 4/5x + 5.
Is the function discrete or continuous? Is the function linear or exponential? What is the common difference or common ratio?
Continuous
Linear
Common Difference: 4/5
I have the given points from a function: (1,8), (3, 17), (5, 26)
What are the recursive and explicit functions of the function?
Recursive: f(n)=f(n-1) + 9/2
Explicit: f(n) = 9/2n + 7/2
A thrift store puts 12 items on a shelf at a time. If there are "n" shelfs what are the recursive and explicit functions? Is the function continuous or discrete?
Recursive: f(n)=f(n-1) + 12
Explicit: f(n) = 12n
Discrete
I have the given function y = 4/5x + 5.
What is the domain?
All Real Numbers
I have the following points on a line: (5,7), (9, 15), (13, 23)
What is the slope of the given line?
(15-7) / (9-5) = 8/4 = 2
A sticker dispenser starts with 400 stickers. Each time a person puts in money 2 stickers come out.
Is the situation above a discrete or continuous model? Is the situation linear or exponential? What is the common difference or common ratio?
Discrete
Linear
Common Difference: -2
I have the given points from a function: (1, 4), (2, 12), (3,36).
What are the explicit and recursive functions?
Recursive: f(n) = f(n-1)(3)
Explicit: f(n)=4(3)^(n-1)
I cut a paper into 5 equal pieces on the first cut and continue the pattern for each cut that comes after. What are my recursive and explicit functions? Is the function continuous or discrete?
Recursive: f(n)=f(n-1)(5)
Explicit: f(n) = 5(5)^(n-1)
Discrete
A sticker dispenser starts with 400 stickers. Each time a person puts in money 2 stickers come out.
What is the domain of the situation?
All whole numbers between 0 and 200.
I have the following points on a line: (-8, 3), (-5, 12), (-2, 21)
What is the slope of the given line?
(12-3)/(-5- -8) = 9/3 = 3
I have the following points from a given function: (-8, -4) , (-4, -2), (-2, -1), (0,0)
Is the function discrete or continuous? Is the function linear or exponential? What is the common difference or common ratio?
Continuous
Linear
Common Difference: -1/2
A sticker dispenser starts with 400 stickers. Each time a person puts in money 2 stickers come out.
What are the recursive and explicit functions from the situation above?
Recursive: f(n) = f(n-1) - 2
Explicit: f(n) = -2n + 400
A thrift store puts 12 items on a shelf at a time.
How many shelfs do I have if I have 168 items?
14 shelfs
An element decays at 4.25% each year. The element starts at 30.5 grams.
What is the domain?
All Real Numbers greater than or equal to 0.
I have the following points on a line: (-6, 15), (-1, 10), and (4, 5)
What is the slope of the given line?
(10 - 15)/ (-1--6) = -5/5 = -1
I have the given function:
f(1) = 4
f(n) = f(n-1)(2)
Is the function discrete or continuous? Is the function linear or exponential? What is the common difference or common ratio?
Discrete
Exponential
Common Ratio: 2
I start with 20 items in my garage. At the end of each year the items multiply by 2.5 in size.
What are my recursive and explicit functions?
f(n) = f(n-1)(2.5)
f(n) = 20(2.5)^(n)
I cut a paper into 5 equal pieces on the first cut and continue the pattern for each cut that comes after.
If I have 9,765,625 pieces how many times did I cut the pieces into 5 equal sections?
10
I have the given function:
f(1) = 4
f(n) = f(n-1)(2)
What is the domain?
All whole numbers
I have the following points on a line: (-7, 1), (-3, -4), (1,-9)
What is the slope of the given line?
(-9- -4)/(1- -3) = -5/4
An element decays at 4.25% each year. The element starts at 30.5 grams.
Is the given situation indicative of a discrete or continuous model? Is the situation indicative of a linear or exponential function? What is the common difference or common ratio?
Continuous
Exponential
Common Ratio - 0.9575
An element decays at 4.25% each year. The element starts at 30.5 grams.
What are the recursive and explicit functions of the situation from above?
f(n) = f(n-1)(.9575)
f(n) = 30.5(.9575)^n
An element decays at 4.25% each year. The element starts at 30.5 grams.
How many grams do I have left after 6 years?
23.5035 grams
I have the following points from a given function: (-8, -4) , (-4, -2), (-2, -1), (0,0)
What is the domain?
All Real Numbers