Q2). Let A={1,2,3,4} B={a, b,c} which of the following are relation from B to A? (i) {(c, a) (c, b) (c,1)}
(ii) {(c,4) (b,3) (c.2)}

Step-by-step explanation:

Given sets are :

A = {1,2,3,4} and B = {a,b,c}

(i)

3)

A = { 1,2,3,4}

B = { 1,2,3}

A×B = { 1,2,3,4}×{1,2,3}

⇛ {(1,1),(1,2),(1,3),(2,1),(2,2),(2,3),(3,1),(3,2),(3,3),(4,1),(4,2),(4,3)} (1)

B×A = {1,2,3}×{1,2,3,4}

⇛ {(1,1),(1,2),(1,3),(1,4),(2,1)(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(3,4)}(2)

From (1)&(2)

A×B ≠ B×A

They are not equal.

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

a

step-by-step explanation: