Properties of Functions
Linear Functions
Arithmetic Sequences
Scatter Plots and Lines of Best Fit
100
Is it a function?
(-3,2), (-3,1), (-3,0), (-3,-1)
No!
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 best describes the data below:
a) Nonlinear association
b) Positive correlation
c) Negative association
d) No association
Positive correlation
200
Identify the domain:
200
For the function
g(x)=3x+1
If g(x) = 22, what was x?
x=7
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 is the best estimate for someone's resting heart rate if they get 6 hours of exercise per week?
55 bpm
300
What is the range?
1<y<3
300
Write a linear function:
f(x) = 6x + 6
300
Sam has 17 points in a video game. Every time he hits the goal, he adds 3 points.
Write the explicit formula for the story above.
an = 17 + (n-1)*3
300
Which does the slope of the line of fit mean?
a) A prediction for the weight of a kitten when it is born.
b) A prediction of how much the kitten grows in grams per day.
c) A prediction for the number of days it takes for a kitten to grow one gram.
b) A prediction of how much the kitten grows in grams per day.
400
Is this a function?
No!
400
A function,
f(x) = 3x + 10
has a domain of
0 <= x <= 50
What is the range?
10 <= y <= 160
400
Sam has 17 points in a video game. Every time he hits the goal, he adds 3 points.
Write the recursive formula for the above story.
a1 = 17
an = an-1 + 3
400
What does the y-intercept mean for the line of fit?
a) A prediction for the weight of a kitten when it is born.
b) A prediction of how much the kitten grows in grams per day.
c) A prediction for the number of days it takes for a kitten to grow one gram.
a) A prediction for the weight of a kitten when it is born.
500
What type of relationship is shown?
One-to-one, one-to-many, many-to-one, or many-to-many?
Many-to-one
500
A function,
f(x) = 2x + 1
has a range of
1 <= y <= 21
What is the domain?
0<=x<=10
500
Given that a499 = 100 and an=an-1 - 3,
find a500.
a500 = 97
500
Which equation seems to match the line of fit?
a) f(x) = 8x + 10
b) f(x) = 0.8x + 10
c) f(x) = -8x + 10
a) f(x) = 8x + 10