12 basic functions powerpoint

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    TWELVE BASIC

    FUNCTIONS

    Calculus Project

    P.4

    10/15/11

    By: Kayla Carmenia

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    Identity Function

      The only function that acts on every real

    number by leavin it alone.

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    Squaring Function

      The ra!h of this function "!arabola# has

    a reflection !ro!erty useful in ma$in

    flashlihts an% satellite %ishes.

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    Cubing Function

      &riin is calle% the '!oint of inflection(

    for this curve because the ra!h

    chanes curvature at that !oint.

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    Reciprocal Function

      The curve) a hy!erbola) also has a

    reflection !ro!erty that is useful in

    satellite %ishes.

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    Square Root Function

      Put any !ositive number into your

    calculator. Ta$e the s*uare root. Then

    ta$e the s*uare root aain) an% so on.

    +ventually you ,ill al,ays et 1.

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    Exponential Function

      The number e is an irrational number "li$e

    !ie# that sho,s u! in a variety of

    a!!lications. The symbols e an% !ie ,ere

    both brouht into !o!ular use by the reat-,iss mathematician eonhar% +uler

    "1012#.

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    Natural LogarithmFunction

      The function increases very slo,ly.

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    Sine Function

      This function an% the sinus cavities in

    your hea% %erive their names from a

    common root: the atin ,or% for 'bay.(

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    Cosine Function

      The local e3treme of the cosine function

    occur e3actly at the eros of the sine

    function) an% vice versa.

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    Absolute Value Function

      This function has an abru!t chane of

    %irection "a 'corner(# at the oriin.

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    reatest IntegerFunction

      This function has a jum! %iscontinuity at

    every inteer value of 3.

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    Logistic Function

      There are t,o horiontal asym!totes)

    the 3a3is an% the line y1. The function

    !rovi%es a mo%el for many a!!lications

    in bioloy an% business.