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Functions: Domain, Range, Composition, Inverses
Functions: Transformations
Exponents
Logarithms
Geometry
100
All of the X values of a function.
What is Domain?
100
This transformation moves the exponential function (f(x) = x^2)) three to the right.
What is f(x) = (x-3)^2
100
This value of x in 3^x makes 3^x equal to 81
What is 3^4?
100
A quantity representing the power to which a fixed number (the base) must be raised to produce a given number
What is a logarithm?
100
This states that AB+BC = AC
What is the segment addition postulate?
200
This function forms a parabola
What is the shape formed by f(x) = x^2?
200
This transformation flips the y values of the exponential function (f(x) = x^2)).
What is f(x) = -(x^2)?
200
You can break up this equation to a^3*a^5
What is a^8?
200
This property states that when adding log(a,x) and log(a,y), you can rewrite the equation as log(a,xy).
What is the log product property?
200
What can be said when two lines have the identical slope as another?
What are parallel lines?
300
A line denoting undefined values in a function.
What is an asymptote?
300
This transformation flips the exponential function (f(x) = x^2)) over the y-axis
What is f(x) = (sqrt(-x)
300
You can rewrite this equation as a^10/a^7
What is a^3?
300
Using the log quotient property, these two logarithms can be combined to form log(a,x/y)
What is log(a,x) - log(a,y)?
300
What can be said of two lines that have the opposite reciprocal slopes of each other?
What are perpendicular lines?
400
The inverse of this function is f(x) = x ^ (1/3)
What is f(x) = x^3 ?
400
After the transformation is applied, this absolute value function has a vertex of (4, 0)
What is f(x) = abs(x-4)
400
This is another way to write the cubed root of a^m
What is a^(m/3)
400
No matter what you put in for a, log(a,a) + log(a,1) will always equal this number.
What is 1?
400
An assumption used as a basis for mathematical reasoning.
What is a postulate?
500
The domain of the function is (0, ∞ ), and the range is (∞, ∞)
What is the range of the inverse of the function f(x) = 2^x or What is the range of the function f(x) = log(2,x)?
500
After this transformation is applied to the function f(x) = x^2, the vertex of this function is (-4, 2)
What is f(x) = (x+4)^2 +2
500
Expanded, the equation is 4root(a^5) * 1/a
What is a^(5/4 -1)?
500
When not condensed, this logarithm reads a^(log(a,b))
What is b?
500
This is the distance between the points (-4, -1) and (4, 5)
What is 10?