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18 Cards in this Set

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Function
A ____ f from set A to set B is a relation that assigns to each element x in the set A exactly one element y in set B.
Function
Verbally
Numerically
Graphically
Algebraically
Four ways to represent a function
Input; x
Output; f(x)
Equation; f(x) = 1 - x²
Function Notation
What is a function that is defined by two or more equations over a specified domain is called?
A piecewise-defined function.
f(x+h)-f(x)
-------------
h
h≠0
Difference Quotients
A test to determine if a curve is a relation or graph of a function when the function's domain and codomain correspond to the x and y axes of the Cartesian coordinate system.
Vertical line test
Find the difference quotient of the following function:
f(x)=3x²-5x+4
What is the collection of ordered pairs (x,f(x)) such that x is in the domain of f?
Graph of function
Find the zeros of function:
f(x)=3x²+X-10
3x²+X-10=0
(3X-5)(x-2)=0
3x-5=0 X=5/3
X+2=0 X=-2
The ______ function f(x)=ax+b is a line with slope m=a and y-intercept at (0,b).
Linear
A type of function that has a u-shape graph.
Squaring function
What type of function is this?
Cubic Function
Function whose graphs resemble sets of stair steps are known as what function.
Step functions.
Horizontal shifts, vertical shift, and reflections are called _____ transformations.
rigid
What are two special types of linear functions?
The constant function and the identity function
The _____ is the functions is set of all values (outputs) assume by the dependent variable.
range
The _____ of a function is the set of all values (input) of the independent variable for which the function is defined.
domain