1.

Let X = {-1, 0, 3, 7, 9} and f : X → R : f(x) x3 + 1. Express the function f as set of ordered pairs.

Answer»

Given: f: X → R, f(x) = x3 + 1 

Here, X = {-1, 0, 3, 7, 9} 

For x = -1 

f(-1) = (-1)3 + 1 = -1 + 1 = 0 

For x = 0 

f(0) = (0)3 + 1 = 0 + 1 = 1 

For x = 3 

f(3) = (3)3 + 1 = 27 + 1 = 28 

For x = 7 

f(7) = (7)3 + 1 = 343 + 1 = 344 

For x = 9 

f(9) = (9)3 + 1 = 729 + 1 = 730 

∴ the ordered pairs are (-1, 0), (0, 1), (3, 28), (7, 344), (9, 730)


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