Consider the function ƒ: {1, 2, 3, 4} → {1, 2,3,4} given by f(n) = = a. Find f(1) = 1 b. Find an element n in the domain such that f(n) c. Find an element n in the domain such that f(n) = n d. Find an element of the codomain that is not in the range. 1 2 3 4 2 2 4 1

Let f be an invertible function with domain R. Define g(x) = f−¹(x + 2). What is the value of f(g(4))? A. 2 B. 0 C. -1 D. 6

The function fhas a domain of [0,4] and a range of [0,2]. a. Suppose the function g is defined as g(x) = 2f(x). Determine the domain and range of g. b. Suppose the function j is defined as j(x) = -f(x). Determine the domain and range of j. c. Suppose the function k is defined as k(x) = f(x – 4). Determine the domain and range of k.

Determine the canonical form of the function f : R → R, f (x) = 2x2 − 8x + 11 and sketch its graph.