The term for the set of all possible inputs for the function f(x)=x3
What is the domain?
100
If f(x)=∛x, what is the equation for g(x) if it shifts f(x) two units down?
What is ∛(x)-2?
100
Inverse functions do this.
What is swap inputs and outputs (or domain and range, or x- and y-values)?
100
What is the first step of solving a cubic or cube root equation?
What is isolate the cubic or cube root expression?
100
Don't ever forget...
What is "we have worth!"
200
The range for the parent function f(x)=∛x (and any transformed functions).
What is y ∈ ℝ (all real numbers)?
200
If f(x)=x3, how would g(x)=¾(x3)+1 transform f(x)?
What is compress vertically by ¾ AND shift up by 1?
200
Inverses multiply to this number
What is one?
200
When solving an equation for a variable, PEMDAS is used backward for this reason.
What is to "unwrap" or "take apart" the equation to solve for the variable.
200
Perfect practice...
What is "makes perfect".
300
Instead of a vertex (like a quadratic or absolute value function has), a cubic or a cube root function has this attribute.
What is a point of inflection?
300
If f(x)=x3 and g(x)=-(x+4)3, how has g(x) been transformed from f(x)?
What is reflected vertically and shifted left 4?
300
The cubic and the cube root functions are inverses because of this mathematical reason?
What is their exponents are inverses (3 and ⅓)
300
If 4x3=4, find x
What is 1?
300
TINSTAAFL means "There is no such thing as a..."
What is free lunch?
400
A cubic or cube root function has this kind of symmetry.
What is rotational (or 180-degree) symmetry?
400
Write out the equation for g(x) if it transforms f(x)=∛x by stretching vertically by 2, shifting right by 4, and shifting up by 3?
What is g(x)=2∛(x-4)+3?
400
If f(x)=x3+2, find f-1(x).
What is ∛(x-2)?
400
If 2∛x-3=1, find x.
What is 2?
400
What musical did the theater department put on LAST year?
What is Beauty and the Beast?
500
What is the y-intercept of: f(x)=(⅓(x-3))3-2? (Hint: Use 0 as your input and simplify)
(Extra hint: an intercept is a point coordinate, not just a number)
What is (0, -3)?
500
Write down the transformations for g(x)=⅕(-(x-3))3+5
What is vertically compressed by one fifth, reflected horizontally, shifted right 3, and shifted up 5.