One-one,many-one, into and onto function

Classify the following functions in the form of one-one,many one,into and onto,also give reason to support your answer.

All one-one function are onto functions

Examine whether the following functions are one-one, many-one or into, onto f(x)=x^(2)+lnx

Examine whether the following functions are one-one, many-one or into, onto f(x)=1/(1+x^(2)),(-oo,0)toR

If function fis defined from set of real numbers R to R in the following way then classify them in the form of one-one,many- one,into or onto.

Let f:R->R and g:R->R be two one-one and onto functions such that they are mirror images of each other about the line y=a . If h(x)=f(x)+g(x) , then h(x) is (A) one-one onto (B) one-one into (D) many-one into (C) many-one onto

Let f:R->R and g:R->R be two one-one and onto functions such that they are mirror images of each other about the line y=a . If h(x)=f(x)+g(x) , then h(x) is (A) one-one onto (B) one-one into (C) many-one into (D) many-one onto

Let f:R->R and g:R->R be two one-one and onto functions such that they are mirror images of each other about the line y=a . If h(x)=f(x)+g(x) , then h(x) is (A) one-one onto (B) one-one into (D) many-one into (C) many-one onto

Let f:R->R and g:R->R be two one-one and onto functions such that they are mirror images of each other about the line y=a . If h(x)=f(x)+g(x) , then h(x) is (A) one-one onto (B) one-one into (D) many-one into (C) many-one onto

f: N rarr N , where f(x) = x - (-1)^x . Then f is a)one-one and into b)many-one and into c)one-one and onto d)many-one and onto