What is a function?
f(8) = 21 When you input 8 into the function the only output is 21.
Evaluate the following for the given domain f(x) = 3(x - 1)
The graph is a function.
Is the graph a function or not?
The mapping is Not a function.
Is the mapping a function or not?
The ordered pair is NOT a function.
Is the ordered pair a function or not {(4,3) , (10, -1) , (2, 9) , (4, 8) , (-6, 0)}?
Function Notation
A method of writing functions. f(x) is the same as y, and is read 'f of x'. It is NOT f multiplied by x. The 'f' is the name of the function and can be any letter except x or y. The 'x' is the input variable.
f(0) = 5. When you input 0 into the function the only output is 5.
Evaluate the following for the given domain f(x) = 2x + 5
2, 8, 9, 12
Name the domain from the following ordered pairs; {(2,5) (2,8) (8, 12) (9, 13) (12, 8)}.
5, 8, 12, 13, 8
Name the range from the following ordered pairs; {(2,5) (2,8) (8, 12) (9, 13) (12, 8)}.
Domain
The set of input (x) values of a function.
Range
The set of output (y) values of a function.
Vertical Line Test
Use to determine if a graph is a function. If vertical line and function intersect at most one time, then it's a function. If there is more than one intersection, then it's not a function.
function
a relationship or expression involving one or more variables