Solutions

Problems Set #6

 

 

1.  What are actual numerical values of

 

a)   [| 2.1 |]   and [|1.98 |]   ?     2  ,  1

 

b)   [| -2.1101 |]    and  [| -1.99|]  ?  -3 , -2

 

c)    [|  π  |]          3

 

d)    ( [| -3.11 |] )2    and   ( [| 3.11 |] )2    16 ,  9 

 

2.  What is the domain and range of each function below

            a)  f(x) = [| x |]                domain: all real numbers           range:  all integers

            b)  f(x) = [| x |]2              domain: all real numbers           range:  all integers ≥ 0

            c)  f(x)  = x – [|x|]           domain: all real numbers           range:  all real numbers between 0 and 1 (including 0)

 

3.  What is the graph of  f(x) = [| x |]2   ?     for x from – 4 to + 4 it looks like: