• Ex 1:  Determine the Domain and Range of the Graph of a Function
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    Ex 1: Determine the Domain and Range of the Graph of a Function

    – WE WANT TO DETERMINE THE DOMAIN AND RANGE OF A FUNCTION GIVEN THE GRAPH OF THE FUNCTION. A DOMAIN IS A SET OF ALL POSSIBLE X VALUES FOR THE FUNCTION, AND THE RANGE IS A SET OF ALL POSSIBLE Y VALUES FOR THE FUNCTION. WELL, X VALUES ARE ALONG THE HORIZONTAL AXIS, AND Y VALUES ARE ALONG THE VERTICAL AXIS. SO TO HELP US DETERMINE THE DOMAIN OF THIS FUNCTION, WE WANT TO PROJECT THIS FUNCTION ONTO THE X AXIS OR ANALYZE IT TO DETERMINE HOW THE GRAPH BEHAVES FROM LEFT TO RIGHT. SO IF WE WERE TO PROJECT THIS FUNCTION ON TO THE X AXIS, OR IF WE…

  • Ex:  Determine the Domain of a Rational Function
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    Ex: Determine the Domain of a Rational Function

    – WE WANT TO DETERMINE THE DOMAIN AND RANGE OF THE FUNCTION F(X)=1 DIVIDED BY THE QUANTITY X + 2. THE FIRST THING TO REMEMBER IS THE DOMAIN CONSISTS OF ALL POSSIBLE INPUTS OR X VALUES AND THE RANGE CONSISTS OF ALL POSSIBLE OUTPUTS OR Y VALUES. NOW THERE’S A COUPLE OF WAYS OF DETERMINING THE DOMAIN AND RANGE. ONE WAY WOULD BE TO ANALYZE THE GRAPH TO DETERMINE THE DOMAIN AND RANGE. THE OTHER WAY WOULD BE TO USE REASONING BASED UPON WHAT WE KNOW ABOUT THE PROPERTIES OF A RATIONAL FUNCTION. LET’S START BY DETERMINING THE DOMAIN AND RANGE GRAPHICALLY. SO WHETHER WE USE TECHNOLOGY OR A TABLE…

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    Lecture 0: Introduction – Computing 1 – Richard Buckland UNSW

    I’ve got a series of polls to sort of get you in the frame of mind of thinking like a uni student or thinking like a computer scientist , really the first one comes from something my daughter said this morning as she was looking at the biscuits, and we had lots of those biscuits that were pink with little hundreds and thousands on them and she was marvelling at how many there were and she said: i like them so much I would like – she’s just learning big numbers – i would like twenty thousand of them i said “oh, that’s quite a lot”, she said yes “No,…