12 basic functions powerpoint
TRANSCRIPT
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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.