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18 Cards in this Set
- Front
- Back
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Function
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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.
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Function
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Verbally
Numerically Graphically Algebraically |
Four ways to represent a function
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Input; x
Output; f(x) Equation; f(x) = 1 - x² |
Function Notation
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What is a function that is defined by two or more equations over a specified domain is called?
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A piecewise-defined function.
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f(x+h)-f(x)
------------- h h≠0 |
Difference Quotients
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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.
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Vertical line test
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Find the difference quotient of the following function:
f(x)=3x²-5x+4 |
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What is the collection of ordered pairs (x,f(x)) such that x is in the domain of f?
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Graph of function
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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 |
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The ______ function f(x)=ax+b is a line with slope m=a and y-intercept at (0,b).
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Linear
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A type of function that has a u-shape graph.
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Squaring function
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What type of function is this?
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Cubic Function
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Function whose graphs resemble sets of stair steps are known as what function.
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Step functions.
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Horizontal shifts, vertical shift, and reflections are called _____ transformations.
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rigid
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What are two special types of linear functions?
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The constant function and the identity function
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The _____ is the functions is set of all values (outputs) assume by the dependent variable.
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range
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The _____ of a function is the set of all values (input) of the independent variable for which the function is defined.
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domain
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