Classify each of the following real-valued functions into the closest standard…

MATHEMATICS · Multi-part · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Classify each of the following real-valued functions into the closest standard category (constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic, greatest-integer). For every function also write its domain and range. (i) f1(x)=3x2−2x+5f_1(x)=3x^2-2x+5 (ii) f2(x)=2x+1x−3f_2(x)=\dfrac{2x+1}{x-3} (iii) f3(x)=4f_3(x)=4 (iv) f4(x)=2x−1f_4(x)=2^{x-1} (v) f5(x)=⌊x⌋f_5(x)=\lfloor x \rfloor

Related theory

Browse the problem library