1.4 Classification Of Functions
Analytically represented functions are either Elementary or Non-elementary.
The basic elementary functions are :
1) Power function :y = xm , m ÎR
2) Exponential function :y = ax , a > 0 but a ¹ 1
3) Logarithmic function :y = log ax , a > 0, a ¹ 1 and x > 0
4) Trigonometric functions :y = sin x, y = cos x, y = tan x,
y = csc x, y = sec x and y = cot x
5) Inverse trigonometric functions
y = sin-1 x, y = cos-1x, y = tan-1x,
OR y = cot-1x, y = cosec-1x, y = sec-1x.
y = arc sin x, y = arc cos x, y = arc tan x
y = arc cot x, y = arc csc x and y = arc sec x
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