CLASSIFICATION OF FUNCTION -
B.) Transcendental Functions –
A function which is not algebraic is called transcendental. In other words, transcendental functions are not capable of being produced by the algebraical operations of addition, multiplication, and involution, or the inverse operations.
The following are different types of transcendental functions.
(i) Trigonometric Functions, such as cos x, tan 3x, etc.
(ii) Inverse Trigonometric Functions, such as sin⁻¹ x, sec⁻¹ x, etc.
(iii) Exponential Functions. A function, in which the domain (independent) variable is an exponent, is an exponential function. A simple exponential function is y = 2ˣ
(iv) Logarithmic Function. The correspondence x → log x is a logarithmic function.