Question

xpress the function f: A—R.f(x) = x2 – 1. where A = { -4, 0, 1, 4) as a set of ordered pairs.

Answer 1

Answer:

-4= x2-1

x= √-3

0=x2-1

x=1/2

1=x2-1

x= 1

4=x2-1

x =2.5

x= {√-3 ,0.5,1,2.5}

Answer 2

Given,

• A = {-4, 0, 1, 4}

f(x) = x² – 1

f(-4) = (-4)² – 1 = 16 – 1=15

f(0) = (0)² – 1 = -1

f(1) = (1)² – 1 = 0

f(4) = (4)² – 1

= 16 – 1

=15

Therefore,

The set of ordered pairs = {(-4, 15), (0, -1), (1, 0), (4, 15)}