Unit2Vocabulary Flashcards
Function Notation
Specifying the name and the input variable to a function equation:
f(x) = 4x - 1
Linear Function
f(x) = -6x + 8
Composite Function
The result of adding, subtracting, multiplying, dividing, and/or nesting one or more functions together.
Domain
The set of all possible values that can be input into a function. Traditionally associated with the x variable.
Shrink & Stretch
The process of shrinking or stretching a function’s graph along either the x or y axes.
Rule: af(x) for vertical shrink/stretch and f(ax) for horizontal
Translation
The process of moving a function’s graph along either the x or y axes.
Rule: f(x) +/- a for vertical move and f(x +/- a) for horizontal
Function Evaluation
The process of calculating an output for a given input to a function.
Ex: Evaluate f(-2) given f(x) = -x + 3
Reflection
The process of flipping a function’s graph across either the x or y axes.
Rule: -f(x) for vertical flip and f(-x) for horizontal
Square Root Function
f(x) = ?x
Transformation Notation
Function notation that defines the transformations that are occuring to the parent function:
Ex: Given f(x) = 2x + 5 then 2f(x) + 5 is the Transformation Notation
Quadratic Function
f(x) = 2(x - 1)2 + 7
Range
The set of all possible output values for a function. Typically associated with the y variable.
Inverse Function
The function denoted with a superscipt -1 that will take the output from another function and calculate the original input that created that output.
Ex: f(x) = x + 5 then the inverse is f-1(x) = x - 5
Vertical Line Test
A general process to test whether an equation is a function. As long as a vertical line drawn anywhere along an equation’s graph does not cross that graph more than once, then the equation is a function.
Function
A mathematical equation that has one and only one output for any given input.
