1. A function \(f ( n )\) is defined as below:
\(f : A \rightarrow B = \{ ( - 1,2 ) , ( 0,4 ) , ( 1,5 ) , ( 2,4 ) , ( 3,0 ) , ( 4 , - 3 ) \}\)
a. Graph \(f ( n )\) on a coordinate plane. Identify its roots.
b. Suppose there is a function \(g ( n ) = f ( n ) - 4\) . Identify \(D _ { g }\) and \(R g .\) Identify the roots of \(g ( n )\) .
c. Let \(h ( n ) = f ( n + 2 ) + 3\) . Describe the transformations of \(f\) to create \(h\) .
d. Identify \(D _ { h }\) and \(R _ { h }\) . Identify the roots of \(h ( n )\)