Functions and Relations
Linear Functions
Arithmetic Sequences
Scatter Plots and Lines of Best Fit
100
Is it a function?
(-3,2),(-1,-3),(1,2),(2,3)
Yes!
100
Find the value:
f(-2) if f(x)=2x+7
f(-2)=3
100
Is this an arithmetic sequence?
1, 2, 4, 8, 16, ...
No
100
What type of association is shown by the data in the scatter plot?
Positive Association
200
Identify the domain:
(-3,2),(-1,-3),(1,2),(2,3)
{-3,-1,1,2}
200
Write a linear function:
f(x)=4x-5
200
What is the common difference of the following arithmetic sequence?
6, 3.5, 1, -1.5, -4, -6.5, ...
d = -2.5
200
Which could be the equation of the trend line shown in the graph?
a) y=3.5x+12 b) y=4.5x+11
c) y=3.5x+10 d) y=4.5x+9
c) y=3.5x+10
300
What type of function is the following:
Many-to-one
300
Write a linear function:
f(x) = 6x + 6
300
Sam buys a dog bed for $17. Then he picks out some dogs toys from the bin that are $3 each.
Write the explicit formula for the story above.
an = 17 + 3(n-1)
or
an= 14 + 3n
300
What type of correlation does the data in the table represent?
Negative Correlation
400
What is a reasonable domain for the following function?
Maude has a coffee budget of $40 each month. She maps the amount of money she spends each month to the number of coffees she buys.
0<=x<=40
400
A function,
f(x) = 3x + 10
has a domain of
0 <= x <= 50
What is the range?
10 <= y <= 160
400
Sam buys a dog bed for $17. Then he picks out some dogs toys from the bin that are $3 each.
Write the recursive formula for the above story.
an = an-1 + 3; a1 = 17
400
Given this information, write an equation to represent the trend line in slope-intercept form.
Points: (1, 24), (7, 84)
y = 10x + 14