Question

Let A = {1, 2, 3, 4} and Z be the set of integers. Define f:A→Z by f(x) = 3x + 7. Show that f is a function from A to Z. Also find the range of f.

Answer 1

Hi Bro,


A = { 1, 2, 3, 4 }

Z = { ... 1, 2, 3, 4, ... }

f(x) = 3x + 7

f(1) = 3(1) + 7 = 10

f(2) = 3(2) + 7 = 13

f(3) = 3(3) + 7 = 16

f(4) = 3(4) + 7 = 19

Refer the arrow diagram in the attachment. I have proved that the function from from A=>Z is defined. As, each element of A is mapped to Z. It is a One-One function which is also known as injective function.

Range = { 10, 13, 16, 19 }

Answer 2

Answer:

range is { 10,13,16,19}

f = { (1,10),(2,13),(3,16),(4,19)}

Step-by-step explanation:

HOPE IT WILL HELP YOU PLEASE MARK IT AS BRILLIANT ANS AND PLEASE FOLLOW ME

☆ THANK YOU ☆