Question

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

Answer 1

Answer:

order pairs are (-4,15) (0,-1) (1,0) (4,15)

Step-by-step explanation:

f(x)= x^2-1

=-4^2-1

=15

(-4,15)

f(x)=x^2-1

=0^2-1

=-1

(0,-1)

f(x)=x^2-1

=1^2-1

=0

(1,0)

f(x)=x^2-1

=4^2-1

=16-1

=15

(4,15)

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Answer 2

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

Solution:

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)}