Evaluating Functions
Composition of Functions
Transformations
Interpreting Functions
Trivia
100
Evaluate f(-2)
f(-2) = 2
100
Evaluate f(g(-2))
8
100
Describe the transformations of the following function
f(x - 3) +1
Right 3 units
Up 1 Unit
100
Trevor goes to work and needs to clean 15 rooms. Let R(t) represent the number of rooms left to clean, and t the number of hours it takes him to clean. Interpret the following function
R(3) = 6
After working 3 hours, Trevor has 6 more rooms to clean.
100
What is the chemical symbol for water?
H2O
200
Find the value(s) of x when g(x) = -4
x = 0
200
Evaluate g(f(5))
-1
200
Describe the transformation from the parent function (solid line) and the transformed function (dotted line).
Left 5 units
Down 2 units
200
Trina is selling bracelets at school. Let E(b) represent her earnings and b the number of bracelets sold. Interpret the following function.
E(24) = 35
Trina sold 24 bracelets and earned $35.
200
Who was the 1st president of the U.S?
George Washington
300
Find the values of x when f(x) = 3
x = 3 and 7
300
Evaluate f(g(-3)) using the functions below.
f(x) = 3x^2 -10x g(x)= 3x + 12
-3
300
Given the parent function f(x), write the transformed function given the following transformations.
Right 5 units and up 2 units.
f(x - 5) + 2
300
You work at McDonalds and get paid an hourly wage. On your last paycheck you earned $325 and worked a total of 25 hours. Let x represent the number of hours and f(x) represent the total money earned. Write a function that best represents this situation.
f(25) = 325
300
What is the largest ocean in the world?
Pacific Ocean
400
Find x when g(x) = 30
g(x) = -3x + 12
x = -6
400
Evaluate g(f(x)) using the functions below.
f(x) = 3x^2 -10x g(x)= 3x + 12
-9
400
Given the parent function g(x) (solid line), write the function of the transformed function (dotted line).
g(x - 1) + 3
400
You're selling cupcakes at a bake sale. You sold 55 cupcakes and earned a total of $165. Let x represent the number of cupcakes sold and f(x) represent your earnings. Write a function that represents this situation.
f(55) = 165
400
Who was the first person to travel into space?
Yuri Gagarin
500
Evaluate h(2x - 5).
h(x)=x^2 +10
4x^2 -20x+35
500
Evaluate f(g(x)) using the functions below.
f(x) = x^2+8 g(x)= 3x -2
9x^2 - 12x+12
500
If g(x) = f(x + 2) - 3, sketch the transformed graph of g(x)
500
You're working to save up money for a new video game. Your parents gave you $20 and you set aside $5 each day. Let the function f(x) = 5x + 20 represent the amount of money saved and x represent the number of days. If the game costs $75, how long will it take for you to save up?
11 days
500
In what year did the Titanic sink?
1912