Calculus Volume 1 1.1 Review of Functions : part 2
Calculus Volume 1 1.1 Review of Functions : part 2 We can also visualize a function by plotting points ( x , y ) ( x , y ) in the coordinate plane where y = f ( x ) . y = f ( x ) . The graph of a function is the set of all these points. For example, consider the function f , f , where the domain is the set D = { 1 , 2 , 3 } D = { 1 , 2 , 3 } and the rule is f ( x ) = 3 − x . f ( x ) = 3 − x . In Figure 1.5, we plot a graph of this function. Figure 1.5 Here we see a graph of the function f f with domain { 1 , 2 , 3 } { 1 , 2 , 3 } and rule f ( x ) = 3 − x . f ( x ) = 3 − x . The graph consists of the points ( x , f ( x ) ) ( x , f ( x ) ) for all x x in the domain. Every function has a domain. However, sometimes a function is described by an equation, as in f ( x ) = x 2 , f ( x ) = x 2 , with no specific domain given. In...