Let X = {–1, 0, 2, 5} and f : X → R Z: f(x) = x3 + 1. Then, write

1.	Let X = {–1, 0, 2, 5} and f : X → R Z: f(x) = x3 + 1. Then, write f as a set of ordered pairs.
Answer» Given, X = {–1, 0, 2, 5} f : X → R Z: f(x) = x³ + 1 Finding f(x) for each value of x, (1) f(-1) = (-1)³ + 1 = -1 + 1 = 0 (2) f(0) = (0)³ + 1 = 0 + 1 = 1 (3) f(2) = (2)³ + 1 = 8 + 1 = 9 (4) f(5) = (5)³ + 1 = 125 + 1 = 126 f in ordered pair is represented as f = {(-1,0),(0,1),(2,9),(5,126)}

Let X = {–1, 0, 2, 5} and f : X → R Z: f(x) = x3 + 1. Then, write f as a set of ordered pairs.

Answer»

Given, X = {–1, 0, 2, 5}

f : X → R Z: f(x) = x³ + 1

Finding f(x) for each value of x,

(1) f(-1) = (-1)³ + 1 = -1 + 1 = 0

(2) f(0) = (0)³ + 1 = 0 + 1 = 1

(3) f(2) = (2)³ + 1 = 8 + 1 = 9

(4) f(5) = (5)³ + 1 = 125 + 1 = 126

f in ordered pair is represented as

f = {(-1,0),(0,1),(2,9),(5,126)}