Express the following functions as set of ordered pairs and determine

1.	Express the following functions as set of ordered pairs and determine their range.f : X → R, f (x) = x3 + 1, where X = {–1, 0, 3, 9, 7}
Answer» We have, f : X→ R,f(x) = x³ + 1. Where X = {-1, 0, 3, 9, 7} Now f (-l) = (-l)³ +1 =-l + 1 =0 f(0) = (0)³ +l=0+l = l f(3) = (3)³ + 1 = 27 + 1 = 28 f(9) = (9)³ + 1 = 729 + 1 = 730 f(7) = (7)³ + 1 = 343 + 1 = 344 f= {(-1, 0), (0, 1), (3, 28), (9, 730), (7, 344)} Range of f= {0, 1, 28, 730, 344}

Express the following functions as set of ordered pairs and determine their range.f : X → R, f (x) = x3 + 1, where X = {–1, 0, 3, 9, 7}

Answer»

We have, f : X→ R,f(x) = x³ + 1.

Where X = {-1, 0, 3, 9, 7}

Now f (-l) = (-l)³ +1 =-l + 1 =0

f(0) = (0)³ +l=0+l = l

f(3) = (3)³ + 1 = 27 + 1 = 28

f(9) = (9)³ + 1 = 729 + 1 = 730

f(7) = (7)³ + 1 = 343 + 1 = 344

f= {(-1, 0), (0, 1), (3, 28), (9, 730), (7, 344)}

Range of f= {0, 1, 28, 730, 344}