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Functions
Composite Functions
Translations
Counting Methods
Real Numbers
100
Is the following relation a function? { (0,1), (2, 1), (2, 2), (3, 5)}
No
100
g(x) = 4x + 1 and f(x) = x^2 - 2 find f(g(-1))
7
100
Describe the translation f(x) = (x + 2)^2
left 2 units
100
Picking out an outfit you have three options for shirts, four pairs of pants and three pairs of shoes. How many different outfits can you make?
36
100
Classify as rational or irrational -40
rational
200
Is the graph of y=x^2 -5 a function?
Yes
200
h(x) = - x + 3 and f(x) = x^2 - 2 find h(f(5))
-20
200
Describe the translation f(x) = | x - 1|
right 1 unit
200
Evaluate 6!
720
200
Classify as rational or irrational 4pi
irrational
300
Given f(x) = x - 4 find f(-1)
-5
300
f(x) = x^2 - 2 and h(x) = - x + 3 find f(3) - h(3)
7
300
Describe the translation f(x) = | x + 8| - 3
left 8 units and down 3 units
300
You have a bag of 12 donuts. Your friend wants three. How many ways are there to give them three donuts?
1320
300
Evaluate 4x+7 = 3x-18
-25
400
Given f(x) = x^2 +2 find f(-3)
11
400
g(x) = 4x + 1 and h(x) = -x + 3 find g(h(x))
-4x + 13
400
Write the equation for a parabola that is translated 6 units up and 1 unit left
f(x) = (x + 1)^2 +6
400
How many ways can 15 runners come in first, second, third and fourth place?
32,760
400
Evaluate 3x^2 - 1 = 95
-4sqrt(2) , 4sqrt(2)
500
Given g(x) = sqrt(x + 3) find g(15)
3sqrt(2)
500
f(x) = x^2 - 2 and h(x) = -x +3 find f(h(x))
(-x + 3)^2 - 2
500
Write the equation for an absolute value function translated 3 units right and two units down
f(x) = |x - 3| - 2
500
You have a lock with four dials. You choose one digit for each dial and repetitions are allowed. How many different combinations can you make?
10,000
500
Evaluate 3x^2 + 1 = 7x^2 - 1
-sqrt(2)/2 , sqrt(2)/2