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Chapter 1 flash cards

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
Vertical Line Test for Functions   No vertical line intersects the graph at more then one point  
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What is a variable?   A symbol that can be replaced by any one of a set of numbers or other objects  
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What is an algebraic expression?   A combining of numbers, variables, and operations in a way that stands for a number.  
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What is required in an algebraic sentence?   An algebraic expression that is related with with an equality or an inequality.  
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Opposite of a Sum Theorem   For all real numbers a and b -(a+b)= -a+-b  
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Slope Theorem   The graph of the direct-variation function y-kx has constant slope k.  
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Dependent Variable   A variable whose value always depends on the value(s) of the other variable(s).Deals with Range and output.  
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Independent Variable   A variable whose value determines the other variable(s) value(s). Deals with Domain and input.  
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Natural/ Counting Numbers   1,2,3,4,....  
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Whole Numbers   0,1,2,3,4,...  
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Integers   .....-3,-2,-1,0,1,2,3,...  
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Rational Numbers   0,1,-7, 2/3, .004, 6 7/9,  
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Real Numbers   0, 1, -7, pi, anything that can be represented by decimals  
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What does "y" also equal?   f(x) (F of x) This form is call f(x) notation  
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What is any set of ordered pairs called?   A relation  
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What is a function?   Any relation in which no two different ordered pairs have the same first coordinate.  
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Theorem (Vertical-Line Test for Functions)   No vertical line intersects the graph a function in more then one point.  
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Recursive Formula   Formula where the first term is given and gives a rule on how to find the nth term.  
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Created by: TWenderski
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