1. (6 marks) Provide the domain, target, and range of the following functions (a, b, c, d}3 . For each x E(a, b, cF, fx)-dx. a) fta, b. c}2 b) g: {a, b, c, d)-(a, b, c, d}?. For each x E(a, b, c, d], g(x) (4 marks) Use the ceiling and floor functions to qive a mathematical expression for the following a) Among a random group of 100 people at least 9 must be born in the same month b) Knowing your sock drawer has 3 unique pairs of socks. If you couldn't see the socks how xbx 2. many would you have to pick before you guaranteed you were holding at least a matching ail (4 marks) Are the following functions from R to R? If not, explain why. a) f(x) 1/x b) f(x)- Vx 3. (9 marks) Foreach of the functions below (from Z to Z), indicate whether the function is onto, one-to-one, neither or both. If the function is not onto or not one-to-one, give an example showing why. If the function is bijective, find and show its inverse 4. a) f(x) -x-1 b) j(x) -x 1 c) f(x)