Vocabulary
What is a function?
a relationship or expression involving one or more variables.
How can you tell if an ordered pair is a function?
It cannot have the same x-values or y-values
What way does a positive correlation go?
Up to the right
See if the sequence is arithmetic. If so, find the common difference and the next three terms.
-8,-7,-6,-5....
-8, -7, -6, -5.... The common difference is 1.
+1 +1 +1 +1
The next three terms are -4,-3,-2
A small crab fry costs $12.50 and a large crab fry costs $21.61. Find the independent and dependent variable.
IV- size of crab fries
DV- cost of crab fries
When does a positive correlation exist?
A positive correlation exists when one variable decreases, as the other variable decreases, or when one variable increases as the other one increases too.
Is this a function: (3,3), (4,4), (5,6), (6,7)
yes, because there are not the same x-values or the same y-values.
What way does a negative correlation go?
Up to the left
See if the sequence is arithmetic. If so, find the common difference and the next three terms.
5,3,2,1....
5,3,2,1.... *NOT AN ARITHMETIC SEQUENCE!*
-2 -1, -1
A small ice cream costs $2.90 and a large ice cream costs $4.50. Identify the Independent and Dependant variable.
IV- size of the ice cream
DV- the cost of the ice cream
What is an Arithmetic Sequence?
A sequence of numbers, on which the difference between the consecutive term is constant.
Is this a function: (6,7), (8,9), (7,7), (5,9)
No there are same x-values and same y-values
What happens when there is no correlation?
There is no relation between the data set.
16th term: a1=4 d=8
an= a1+(n-1)d
a16=4+(16-1)8=
=4+(15)8=
=4+120
=124
A party clown charges $10.00 for every hour. Identify the Independent and Dependant variable. Write an equation in function notation.
Independent Variable- Clown Charges $10.00
Dependent Variable- For Every Hour
f(h)=10h
What is a function rule?
It is an equation which shows the relation between the input X and output Y
Is this a function: (5,5), (3,2), (6,5), (2,3)
No, not a function, same y-values
How do you add a trend line in a graph?
There has to be equal or close to equal amount of points on each side.
Determine if each sequence is an arithmetic sequence:
2.2, 3.2, 4.2, 5.2
Yes, this is an arithmetic sequence!
2.2, 3.2, 4.2, 5.2
+1 +1 +1
A plumber charges his customers $20.00 per hour. Identify the Independent and dependent variable. Write an equation in function notation.
IV- the hours
DV- the cost
f(h)=20h
What is function Notation?
Function notation is the way a function is written
Ex: f(x) = 3x+1
Is this a function: (0,3), (3,4), (5,7), (9,0)
Yes it is a function, not the same x-values or y-values
What is a linear trend line?
A best-fit straight line that is used with simple linear data sets.
20th term: a1=3; d=7
an= a1+(n-1)d
a(20)= 3+(20-1)7
=3+ (19)7=
=3+133=
=136
A park manager charges $6.00 to be in the park for every hour spent there. Identify the Independent and Dependent Variable. Write an equation in function notation.
IV- the hours
DV- the cost
f(h)=6h