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Functions & Derivatives: Parent Types, Exercises of Geology

Dr. B.R. Ambedkar Open UniversityGeology

An overview of various parent functions, including constant, linear, quadratic, cubic, absolute value, greatest integer, exponential, logarithmic, reciprocal, rational, square root, cube root, and trigonometric functions. It includes function definitions, examples, and visualizations.

Typology: Exercises

2012/2013

Uploaded on 04/29/2013

arpanay
arpanay 🇮🇳

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PARENT FUNCTIONS
f(x) a=f(x) x=f(x) x=
()
[]
f(x) int x x==
Constant Linear Absolute Value Greatest Integer
2
f(x) x=3
f(x) x=f(x) x= 3
f(x) x=
Quadratic Cubic Square Root Cube Root
x
f(x) a=a
f(x) log x=1
f(x) x
=
()
()
()( )
2
x1x2
f(x) x1x2
+−
=+−
Exponential Logarithmic Reciprocal Rational
f(x) sin x
=f(x) cosx
=f(x) tan x
=
Trigonometric Functions
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PARENT FUNCTIONS

f (x) = a f (x) = x f (x) = x f (x) = int ( x ) =[ x]

Constant Linear Absolute Value Greatest Integer

2 f (x) = x 3 f (x) = x f (x) = x 3 f (x) = x Quadratic Cubic Square Root Cube Root

f (x) = a^ x f (x) = loga x

f (x) x

( ) (^ )

x 2 1 x 2 f (x) x 1 x 2

Exponential Logarithmic Reciprocal Rational

f (x) = sin x f (x) = cos x f (x) = tan x Trigonometric Functions

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