Features of Functions
Transformations
Piecewise Functions
Arithemtic Sequences and Series
Solve Equations/Systems by Graphing
September Trivia
100
State the domain and range.
Domain:
(-oo,oo)
Domain:
(-oo,1]
100
Describe the transformation:
f(x) = |x| - 5
Down 5
100
Evaluate at f(3).
f(3) = 1
100
What is the common difference?
0, -3, -6...
CD: -3
100
Solve x2 + 6x + 8 = x + 2
Write answer as points.
(-2, 0) and (-3, -1)
100
Name a zodiac sign that is in September.
Virgo or Libra
200
What is the domain and range?
Domain:
(-5,oo)
Range:
[-4,1]
200
Describe the transformation.
g(x) = 4(x + 7)2
Vertical stretch of 4, shifted left 7.
200
Evaluate at f(2)
f(2) = -5
200
Find the 12th term in the arithmetic sequence with the first term of 4 and a common difference of 2.
4+2(12 - 1) = 26
200
Solve the equation using Desmos: |x - 3| = 1/2x
Write the answers as x =
x = 2 and x = 6
200
What number was September in the original Roman calendar?
7
300
Name the interval for when the graph is increasing?
At what point, does it change from increasing to decreasing?
Increasing:
(-oo,-2)
Point: (-2,1)
300
Here is a transformation of f(x) = x2.
Write the equation of the new graph. 
f(x) = x2 - 6
300
Evaluate f(5)
f(5) = -1
300
Find the sum of the following sequence
5, 10, 15, 20, 25, 30, 35
(7(5+35))/2=140
300
Ms. Kee and I are budgeting for our daily Starbucks addiction ☕😬.
- A frappuccino costs $6.
- A cake pop costs $3.
- You refuse to spend more than $50 this week (but also you’re not willing to buy fewer than 10 items total, because #treatyoself).
- Also, you need at least as many fraps as cake pops, because sugar > frosting.
Let x= frappuccinos, y=cake pops.
Write the system of inequalites and tell me one solution.
6x + 3y <= 50
x + y >= 10
x>= y
Anything in the triple shaded area.
300
When is the first official day of Fall?
September 22 or 23
400
Name the interval for where the function is positive.
(-3, -1)
400
Here is a transformation of f(x) = x2.
Write the equation of the new graph.
f(x) = -(x - 3)2
400
Evaluate f(-3) and f(2)
f(-3) = 4
f(2) = 0
400
Term 2: 13, Term 3: 18, Term 4: 23, Term 5: 28
Sum: 82
400
Solve a system of equations with 3 variables.
2x + y - z = -10
-x + 2y + z = 3
x + 2y + 3z = 13
x = -1, y = -2, z = 6
400
Which actor from the “Harry Potter” series was born on September 22, 1987?
Tom Felton (Draco Malfoy)
500
What is the average rate of change from [-2, 3]
3/5
From point (-2, -3) to point (3, 0), it went up 3 over 5.
500
Write the equation of the absolute value function reflected over the x axis, shifted right 3, and down 2.
-|x - 3| - 2
500
Evaluate at f(-4), f(0), and f(3)
f(-4) = -4
f(0) = 0
f(3) = -5
500
In June, you start a holiday savings account with a deposit of $30. You increase each monthly deposit by $14 until the end of the year. How much money will you have by the end of December?
30+14(7 - 1) = 114
500
A tour bus can seat, at most, 48 passengers. An adult ticket costs $18 and a child ticket costs $12. The bus company must collect at least $650 to make a profit. If a represents the number of adult tickets sold and c represents the number of child tickets sold, write the system of inequalities and name a solution point.
18a + 12c >= 650
a + c <= 48
Anything in double shaded area.
500
Which migratory bird leaves North America for the south in September?
Hummingbird