Arithmetic Sequences
Graphs and Key Characteristics
Domain and Range
Build, Evaluate, and Interpret
Random Trivia
100
Which function describes the arithmetic sequence shown?
−4, 0, 4, 8, 12, 16, ...
f(x)=4x-8
100
Liza opens a new savings account. Assuming she deposits $15 every week, which equation represents the balance, y, of the savings account after x weeks?
y = 15x
100
If the domain is {0, 2, -6}, what is the range of y = -2x + 3?
{3, -1, 15}
100
Find f(-10).
f(x) = 7x - 5
-75
100
“There’s a snake in my boot!” is famously spoken by Woody, a cowboy doll, in which 1995 animated movie?
Toy Story
200
Which recursive formula is represented by the sequence shown on the table?
an = an - 1 + 200
200
Sketch the linear function f(x)=1/6(3x+1). What are the x and y-intercept of the function?
x-intercept (−1/3, 0) and y-intercept (0,1/6)
200
The endpoints of a line segment graphed on the coordinate system are (−7, 3) and (2, 5). What is the range of the graph?
R: {3 ≤ y ≤ 5}
200
Given ƒ(x) = 18x + 8, find x when ƒ(x) = 14.
1/3
200
A majority of adults have how many permanent teeth?
32
300
The first term of a sequence is -12. The recursive formula for the sequence is an = an-1 + 9. What are the next 3 terms in the sequence?
-3, 6, 15
300
A fighter jet descends from an altitude of 800 feet at a rate of 80 feet per minute. The graph of this situation is shown below.
What is the x-intercept of this function?
10 or (10,0)
300
Scientists believe there is a link between ambient temperature and damage to a head gasket on a car. They perform a study recording daily temperature and the damage index to a head gasket on a car.
What is the domain?
temperature
300
Kayla has $30 to spend on yogurt. She spends a total of $6 each day on yogurt. What rule models the total amount that Kayla has left to spend on yogurt (c) as a function of the number of days (d)?
c = 30 − 6d
300
The first iPhone was released in what year?
2007
400
Consider the first five terms of an arithmetic sequence.
−34, −44, −54, −64, and −74.
What explicit formula defines the given arithmetic sequence? (General form: an = a1 + d(n − 1)
an = −24 −10n
400
The temperature of a substance was recorded over several minutes, as shown in the graph below. The graph displays the linear relationship between the temperature (measured in degrees Celsius) and the number of minutes the substance was being observed.
What does the y-intercept represent?
The initial temperature of the substance was 2°C.
400
Steven is starting a baseball hat printing business and plans on selling each hat for $20 with his cost being $8 per hat. The equipment will cost $800. Steven orders 500 hats and determines that the profit for his new business is modeled by the function P = 12x − 800.
What is the domain of this function in this situation?
{0 ≤ x ≤ 500}
400
A hair salon charges a fixed rate of $25.00 for a haircut and then an additional $15 for any other services. Write a function to model the cost of services there and then determine how many services you had if you were charged $115
f(x) = 15x + 25; 6 other services
400
Anna, Elsa Kristoff and Olaf are all characters in what animated movie?
Frozen