Definitions
- Absolute Value Function: One of the parent functions that can be expressed as f(x)=lxl and it looks like this
- Child Function: A function that is based upon its parent function. An example is f(x)=(x-7)+5. The parent function is a linear function and can be seen as
- Domain: The values of a function that can be inputed.
- Explicit Formula: A formula where you can input the term you are looking for to find the exact value and you dont have to know the previous term.
That is the formula for an explicit formula. The letters and numbers in italics are supposed to be subscripts.
- Exponential Function: A type of parent function that can be represented as f(x)=2^x and can be seen as
- Functions: the relation between a set of inputs and outputs.
- Infinity (∞): a symbol representing that a particular object goes on forever.
- Input: a number that is put into a function. This is part of the domain.
f(x)=x+5
f(3)=8
- Linear function: a parent function that is expressed as f(x)=x and can be seen as
- Output: the answer of a function based on the input.
f(x)=x+5
f(3)=8
- Parent Function: the most basic and original function.
f(x)=lxl
f(x)=x²
f(x)=x³
f(x)=2^x
f(x)=1/x
- Recursive Formula: A formula that uses the previous term in a sequence to find the next term.
t1=tn-1+d
*NOTE: what is in italics is supposed to be subscripts.
- Sequence: a set of numbers where the next term is defined by a pattern.
- Subscripts: a number or letter that is below the main letter or number and it affects it in some way.
- Vertical Line Test: a test used to test the graph of a function to see if it is a function. take a straight object and set it vertically. Then you want to move it across the graph, left to right, if at any time the vertical line touches more than two points the graph is not a function. If the line makes it across the graph without touching more than two points the graph is a function.
The three graphs pictured above are not functions because they fail the vertical line test.