Semester 2 Review

Series and Binomial Theorem

100

We use this Greek letter to show a sum of terms in a sequence

Sigma

200

This is the name of the letter that denotes the values to evaluate each term at in a series 

Index

300

We use the "exclamation point" to denote this product, where we multiply descending consecutive positive integers.

Factorial

400

The nth row of this, tells us the terms of a binomial expansion to the nth power.

Pascal's Triangle

500

The Dichotomy Paradox in which a person must go an infinite number of "half distances" in order to cover the entire distance is an example of this.

Infinite Geometric Series

Triangle Trigonometry

100

Sine and Cosecant are in this relationship to each other

Reciprocal Functions

200

Cosine and Arccosine are in this relationship to each other

Inverse Functions

300

We can determine the exact trig function values for certain angle measures - 30, 60, and 45 degrees by using ratios that result from these.

Special Right Triangles

400

We can use this law to solve triangles whenever we know at least 2 sides and 1 angle in any combination

Law of Cosines

500

We can use this law to solve any triangle when we know at least 2 angles and 1 side.

Law of Sines

Trigonometric Functions

100

This is the ratio of the length of a sector of a circle to its radius

radian measure

200

This is the type of function that cycles in a manner such that some increment of any input results in the same output

Periodic

300

This parameter of a sine or cosine function is half of the absolute value of the difference between a local maximum and the local minimum.

Amplitude

400

The horizontal shift in a trig function is also know as this

Phase shift

500

This is the period of the parent functions for tangent and cotangent

pi

Graphing

100

This is the basic function in a family, where all other members of the family are transformations of it

Parent function

200

For any function f(x) 

and any transformation: g(x)=a*f(x-h)+k,

k is known as this

Vertical Shift

300

For any function f(x) 

and any transformation: g(x)=a*f(x-h)+k,

h is known as this

Horizontal Shift

400

For any function where x gets larger and y gets smaller on some interval of x, we say the function is doing this.

Decreasing

500

This is what we call the trend in a function's value as x approaches either negative or positive infinity.

End Behavior

Functions

100

We use this object to test if a graph is a function, because it fails the definition of a function

Vertical Line

200

This is the set of all inputs for a function 

Domain

300

This is a line that a function approaches

Asymptote

400

If function is one-to-one, then it has one of these

Inverse Function

500

This is the result of composing a function with its inverse

The identity function