Cubic Attributes
The domain of a cubic function is typically ______.
The range of a cube root function is typically _____.
What is all real numbers?
This is considered the most important step in finding an inverse.
What is "switching x and y"?
If I have the points (0,1), (-2,3) and (-4,-4) in an inverse table, the corresponding points in the original table are ____, ____, and ____.
What are (1,0), (3,-2), and (-4,-4)?
In function notation, f(x)+3 means that a function is ____ ____ by 3.
What is "translated up"?
The range of a Cubic extends from negative ________ to positive _______
What is infinty?
The ______ of a function is the point where the graph crosses/touches the x axis.
What is an x intercept?
The inverse of f(x) = ____ is the cubed root of x.
What is x3?
This is the inverse operation of cubing something in mathematics.
What is taking the cube root?
This letter in transformations tells you if the graph shifts horizontally.
What is the letter "h"?
All cubic and cube root functions have this kind of symmetry about/around a certain point.
What is rotational symmetry?
The cube root parent function has a y intercept at this point.
What is (0,0) or the origin?
I can use the acronym SADMEP to help me isolate this variable when finding the inverse of an equation.
What is solving for y?
The inverse of this function is y=5x3.
What is y=cbrt(x/5)?
This letter tells you if the graph of a function is vertically reflected, vertically stretched, and/or vertically compressed.
What is the letter "a"?
The _____ function for cubics is f(x)=x3.
What is "parent"?
This is the name for the checkmark-like symbol in a cube root equation.
What is "the radical"?
One equation _______ can prove that f(x)=1 +(x-3)^1/3 and g(x) = 3+(x-1)^3 are inverses by composition.
What are [FoG](x) = 1 +( 3+(x-1)^3 -3)^1/3 or
[GoF](x)=3 +(1 + (x-3)^1/3 - 1)^3 ?
Given the equation f(x) = cubrt(x), what is the equation of its inverse, and what is the value of x when the inverse equals 64?
What are g(x)=x^3 and x=4 when g(x)=64?
What are vertical reflection, vertical stretch, and vertical shift up?
What is (4,0)?
What is (-7,-5)?
The function y=cbrt(x+9)/7 is the inverse of _____.
What is the function y=(7x)3-9?
The equation of y=cbrt(x3) has a result of x and proves that cubed root and x3 are inverses through the process of _____.
What is composition?
The cubic function ____ has been vertically compressed by a factor of 2/3 and has been horizontally shifted 1 unit left.
What is y=2/3*(x+1)3?