5. (a) How many functions are there from a set with n elements to a set with m elements?

The function Double replaces each element of a list of integers with twice that element. For example, when this function receives [2,0,-3] as input, the output will be [4,0,-6]. Incomplete code for Double is given below. def Double (A): for i in range(0, len (A)): #FIX ME# return A What should the line of code which contains the expression #FIX ME# be replaced with in order to complete the code? O A. A[i]=2*i O B. i=2*A[i] O C. i=2*i O D. A[i]=2*A[i]

A.) What are the relative minimum and relative maximum values over the interval [-3,2] for the function shown in the graph? B.) At what intervals is the entire function increasing? C.) At what intervals is the entire function decreasing?

What is the range of the function in set notation? A) −5 ≤ x ≤ 4 B) −3 ≤ x ≤ 4 C) −3 ≤ x ≤ 2 D) −5 ≤ x ≤ 3

Z is the set of integers, R is the set of real numbers. 5) Functions f: R -> R, g: R -> R are both one to one on the setof real numbers R. Is the function f + g also one to one?Prove your answer.

7. Let A = {a,b,c,d}, B = {c, d, e}, and C = {f, g, h, i}. (a) How many functions are there from A to B? (b) How many one-to-one functions are there from A to B? (c) How many functions are there from A to C (d) How many one-to-one functions are there from A to C?