Question

If R = {(x, y): x, y Є I, 4x2 + 8y2 = 36}, then represent R by arrow diagram

Answer 1

Given: A set R = {(x, y): x, y Є I, 4x^2 + 8y^2 = 36}

To find: Represent R by arrow diagram

Solution:

• Now we have given set R = {(x, y): x, y Є I, 4x^2 + 8y^2 = 36}

• Lets put some values of x, eventually we will get the value of y.

• Here x is domain, and y will result in range.

• Let x = 1, we get:

                 4(1) + 8y^2 = 36

                 8y^2 = 32

                 y^2 = 32/8

                 y^2 = 4

                 y = ±2

                 (x,y) = ( 1, ±2 )

• Let x = 3, we get:

                 4(3)^2 + 8y^2 = 36

                 8y^2 = 36 - 36

                 y^2 = 0

                 y = 0

                 (x,y) = ( 3, 0 )

• So as arrow diagram, we have:

                 x                      y

                 1    -----------⇒ + 2

                 1    -----------⇒ - 2

                 3   -----------⇒   0

• Similarly, more values can be also found out.

Answer:

             So the arrow diagram is shown in solution part.