Essential Functions

Dolynomials If an to say 7 hasdegree u

1 x Got a at aux calledn non negative integer coefficients

cor air an constant real numbers

egree E l 7 Linear y 7cx straight linexx b

Iy _m

main A polynomial IR slope in

Zange depends on degree

Power Functionsa7 x x a Fixed real number

n non zero positive integer wth roota n 7 polynomial of a

a Ya n positive integer 7 Cx x n Toeconventions

x 0 Examples T

Tn fat arex

z u even Tx o

L yh odd Domain Range IR airin every Domain Range Co f

x I reciprocal Yfunction

y la

i

RationalfunctionsRange much

harderPC x

f x P Q polynomials determineQCxDomain x such that Q x to

trample 1 x 2Domain all x t I lsi I

AlgebraicTunctions

f function constructed using x T startingFrom polynomialsDomain All se 7 ou which 7 x makes sense

Example 7 Gcay Domain C i

1

Trigonometric Functions

y cos x

Casca Siu x i IT IT

I 31TIn radians I

txt

Domain _IRIT

Range C B V z

n an integer

5inGet o x ultas x o x uit

an x si Domain an x f Ie tucos x Range R

Ho since cos Gc Tania

A

YET1 a.sc l fz

tan Ah I T Useful toknow

sin to cos Cts is ysin TG cos CTG Bytan Tg Fs tan TG rt