Using funtional notation give an example of a function f: R R which onto but not one-to-one.

The amount of garbage, G, produced by a city with population p is given by G=f(p) . G is measured in tons per week, and p is measured in thousands of people. a.The town of Tola has a population of 40,000 and produces 13 tons of garbage each week. Express this information in terms of the function f. b.Explain the meaning of the statement f(5)=2 .

We can express the function in Exercise 3 algebraically as f(x)=g(x)= (fg)(x)=(gf)(x)=

Use a graphing utility to approximate (to three decimal places) the real zero of the function gx=x3+3x26.

Determine algebraically whether each function is even, odd, or neither. fx=x+1

Functions in Words Express the function (or rule) in words. f(x)=2x+3

Use the mapping to (a) determine whether the relation is a function (b) find the domain of the relation (c) find the range of the relation.

Prove or disprove: composition of functions is commutative; that is g◦f =f ◦ g when both sides are defined.

Let A= {a,b,c,d,q,z} and B= {1,2,…,10} and define the function (D) how many functions are there from A to B? Briefly explain (E) how many one to one functions are there from A to B? Briefly explain

EASY Discrete Mathematics - I will like: A well-defined function with domain X and co-domain Y must map every element of X to exactly a single element in co-domain Y. Is this T or F?