Misc Functions
Domain and Range
Transformations
Compound, Composite and Inverse Functions
Random
100
Given the piecewise function on the board, find f(-2)
See board
100
Without graphing, find the range of f(x) = 3x2-7
What is ( -7, infinity)
100
Identify the parent function for
f(x) =-3 [x-2] + 4
What is the step function, or greatest integer function.
100
For f(x) = 3x2 -7 and g(x) = -x2-4x +5 Find f(g(x)) (without simplifying)
What is 3 (-x2 -4x +5)2 -7 ?
100
TWIST: Pick a number between 0 and 1000
Lose that many points
200
Determine if the function f(x) = 2x6 + 5x4 - x2 is even, odd or neither.
What is even?
200
TWIST: Bankrupt
Lose all your points
200
What change can you make in the equation to reflect the graph of f(x) = x2 over the x axis?
What is a negative sign in front of x^2?
200
Find (fg)(x)
for f(x) = 1/x and g(x) = 2x
What is 2?
200
He is on the 20 dollar bill
Who is President Andrew Jackson
300
TWIST: Free Parking
+500 points
300
Find the domain of f(x) = 10 - sqrt(3-x)
What is x less than or equal to 3?
300
What changes in the graph of the function occur when the equation is changed from f(x) = x3 to
g(x) = 2(x-4)3 + 5 Name all changes.
What is 1) vertical stretch of 2 2) horizontal shift of 4 3) vertical shift up of 5
300
Find the inverse function of f(x) = x3 + 8
What is the cubed root of (x-8)?
300
He wrote the Star spangled banner in 1931
Who is Francis Scott Key
400
Name 3 of the 12 basic functions that are always increasing
What is ln(x), x3, x, sqrt(x), ex?
400
Find the domain of (5x+5)/(3x+9).
What is (-inf, -3) U (-3, inf)
400
Name the new equation for g(x) from the parent function f(x) = abs (x) if it undergoes a shift of 4 up, horizontal shift of 2 to the left and a horizontal stretch of 2.
What is g(x) = abs(1/2x+2) + 4?
400
TWIST: Pick a team
Switch points with that team
400
This planet is not dense so it can float in water
What is Saturn?
500
What is the "function" of this machine?
What is fax?
500
Find the domain of f(x)=x/(x2+1)
What is all real numbers?
500
TWIST
Skip your turn
500
Explain how to verify that two functions are inverses of one another using algebra.
What is find the two combinations of composite functions, simplify and check both are equal to x?
f(g(x)) = g(f(x) = x
500
Nintendo's first video game console
What is Color TV Game?