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.
a. (i) f1(x)=3x2−2x+5
b. (ii) f2(x)=x−32x+1
c. (iii) f3(x)=4
d. (iv) f4(x)=2x−1
e. (v) f5(x)=⌊x⌋