Question

Let A = {1, 2, 3, 4} and B = {2, 5, 8, 11, 14} be two sets.

Let f : A B be a function given by f (x) = 3x-1.

Represent this function (i) by arrow diagram (ii) in a table form

(iii) as a set of ordered pairs (iv) in a graphical form​

Answer 1

Given two sets

$A =\{1,2,3,4\}\\B=\{2,5,8,11,14\}$

Given that $f:A - > B$, $f(x) = 3x-1$

Then,

From the above equation we get

$f(1) = 3(1)-1\\f(1)=2\\f(2) = 3(2)-1\\f(2)=5\\f(3) = 3(3)-1\\f(3)=8\\f(4) = 3(4)-1\\f(4)=11$

from the above values we get

(i) by arrow diagram (refer to image $1$)

(ii) In table form (refer to image $2$)

(iii) Set of ordered pairs

     $\{(1,2),(2,5),(3,8),(4,11)\}$

(iv) graphical form (refer to image $3$)

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Answer 2

Answer:

q1 (

Step-by-step explanation: