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M141-Chapt1

# M141-Chapt1 - MATH 141 Chapter 1 Graphs and...

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Chapter 1: Graphs and Functions (Review) MATH 141

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Distance Formula Example: Find distance between (-1,4) and (-4,-2). Answer: 6.71 1.1
Midpoint Formula Example: Find the midpoint from P 1(-5,5) to P 2(-3,1). Answer: (-4,3)

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The standard form of an equation of a circle with radius r and center ( h, k ) is: The Unit Circle equation is: x y ( h , k ) r ( x , y ) Equations in two variables – Example: Circle Equations ( 29 ( 29 2 2 2 r k y h x = - + - 2 2 2 r y x = + 1.2
Definition of a Function 1.3

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Theorem: Vertical Line Test A set of points in the xy - plane is the graph of a function if and only if a vertical line intersects the graph in at most one point.

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x y Not a function.
x y Function.

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( 29 2 For the function defined by 3 2 , evaluate: f f x x x = - +

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(a) For each x in the domain of f , there is exactly one image f ( x ) in the range; however, an element in the range can result from more than one x in the domain. (b) f is the symbol that we use to denote the function. It is symbolic of the equation that we use to get from an x in the domain to f ( x ) in the range.
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M141-Chapt1 - MATH 141 Chapter 1 Graphs and...

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