Arithmetic Sequences
Graphs & Context
Domain & Range
Function Notation
Linear vs. Non-Linear
Slope
100
A sequence begins: 4, 7, 10, 13…
What is the common difference?
d=3
100
Kylie is shops gets a new phone plan where she pays a flat fee of 25 dollars plus 12 dollars per month. What is the y-intercept of the function?
(0, 25)
100
What is the definition of the range of a function?
a) All of the possible inputs (x-values)
b) All of the possible outputs (y-values)
c) The rate of change
d) The slope of a line
b) All of the possible outputs (y-values)
100
If f(x)=−2x+7, find f(5)
f(5)= -3
100
Is y=3x−5 linear or nonlinear?
linear
100
Given the following function, determine the slope.
y= -2x + 4
m= -2
200
Write a formula for the nth term of the sequence:
2, 5, 8, 11…
an= 2 + 3(n-1)
200
Which of the following is the equation for the line
a) y= 2x - 2
b) y= 2x + 2
c) y= -2x - 2
d) y= -2x + 2
c) y= -2x - 2
200
For the function
f(x)= 3x+1
Determine the domain
All real numbers
200
Find f(2)
f(2)= 7
200
Is y=x2 linear or nonlinear?
nonlinear
200
A line has a slope of -3. What would be the slope of a parallel line?
m= -3
300
A sequence starts at 12 and decreases by 3 each term.
What is the 15th term?
a15= -30
300
A cell phone plan costs $30 per month plus $0.10 per text message.
Write a linear function to represent cost, y, based on number of texts, x.
y= 0.10x + 30
300
True or False:
A real-world function describes the number of people entering a bus, y, at each stop, x.
The domain is all real numbers.
False:
The x-values are the number of bus stops on the route and that cannot be negative or a fraction/decimal. The Domain is restricted to all positive integers (whole numbers)
300
if f(x)= 1, what is x?
x= -2
300
Create a function that is linear and has an initial value of 3
y= mx + 3
300
A line has a slope of 4. What would be the slope of a perpendicular line?
-1/4
400
A sequence can be modeled by the function
a1= 8
an= an-1+6
What are the first four terms?
8, 14, 20, 26
400
Jimmy is driving home from a vacation. His car is on cruise control so he maintains a constant speed. After 3 hours of driving, he is 740km from home. After 6 hours, he is 461km from home. Determine the speed (km) Jimmy is driving per hour.
93 kmph
400
Identify the domain for each function in interval notation
Sharon= [0,5]
Amit= [0,6.5]
400
If f(x)=4x−6, solve for x when f(x)=10.
x= 4
400
Create a function that is nonlinear
Answers may vary :)
400
Horizontal lines have what value as their slope?
a) positive
b) negative
c) zero
d) undefined
c) zero
500
Derive the linear function for the following sequence
3, 7, 11, 15, 19...
y= 4x - 1
500
Identify an interval that is constant
[1, 2]
500
Which situation requires whole-number inputs?
a. The distance a bike travels as a function of time in minutes
b. The amount of fuel left in a tank as a function of distance traveled
c. The total cost of buying tickets as a function of the number of people attending
d. The volume of air in a balloon as a function of pressure
c. The total cost of buying tickets as a function of the number of people attending
500
“f(2)=1,500” if x is the number of minutes Emily reads and y is words she has read on a page
After 2 minutes, Emily has read 1,500 words
500
Give the literal equation for a linear function
y= mx + b
500
Calculate the slope
3/2