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: