Functions
Exponents
Logarithms
Postulates and Theorems
Sequences
100
g(f(x) is this type of function.
What is a composite function.
100
Xa = Xb when this is true.
What is if and only if a = b.
100
logbmn = n*logbm according to this property.
What is the power product property.
100
The line intersection postulate states this.
What is two distinct lines can intersect at exactly one point.
100
In an arithmetic sequence there is a common difference, in a geometric sequence there is a common one of these.
What is a common ratio.
200
This function passes both the horizontal and vertical line tests, it has one X value for every Y value and one Y value for every X value.
What is a one-to-one function.
200
There are 10 of these.
What are exponent rules.
200
(logX)/(logK) = log X is the formula for this.
What is the change of base formula.
200
This postulate allows us to prove that two lines are parallel.
What is the converse of the corresponding angles postulate.
200
The sequence 1,1,1,1... is both of these.
What is an arithmetic and geometric sequence.
300
g-1(f-1(x)) is the inverse of this expression.
What is f(g(x))
300
This helps in judging magnitude of a set of exponents and multiplying them together.
What is changing the bases to be equal.
300
This is why a negative number has no logarithm.
What is because any number to the "X" will never be equal to a negative number.
300
These types of slopes when multiplied together always equal negative one.
What are perpendicular slopes.
300
an = (-1)n is an example of this type of sequence.
What is an alternating sequence.
400
The domain of a function is X<3 and the range is Y<2, the domain and range of the function's inverse are found by doing this to the domain and range of the function.
What is making the domain what the range was in the original function and making the range what the domain was in the original function.
400
These two are required for writing an exponential equation.
What are the first term and the rate of increase or decrease.
400
Checking how data between the X data points, Y data points, logX data points, and logY data points appears when graphs can help you do this to the data.
What is linearize the data.
400
These two topics are the other forms of allowable justification along with postulates and already-proven theorems.
What are definitions and algebra properties.
400
Explicit formulas are more than recursive ones when trying to find a specific term in a sequence for this reason.
What is pinpointing the specific term without having to find the term above it.
500
The inverse of a quadratic function differs from many other functions in this way.
What is that its inverse is positive or negative.
500
The exponential equation formula is the same as this type of sequential formula.
What is a geometric sequence.
500
Log997 is evaluated to X = 7 because of this property.
What is logbm = logbn if and only if m = n.
500
The triangle angles sum theorem has three corollaries that state these three theorems.
What is corollary one, in a right triangle the acute angles are complementary. Corollary two, all the measures of an equiangular triangle are 60°. Corollary three, if two angles of a triangle are congruent to two angles of another triangle then the third pair of angles must be congruent.
500
A sequence is this.
What is a function whose domain is the counting numbers.
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