Question

1. What is the domain and range for these two ordered pairs? (3, 4) (6, -2) Domain and Range.

Answer 1

Linear eguation in Two-point form :

y - y1 = [ ( y2 - y1 ) / ( x2 - x1 ) ] * ( x - x1 )


In this case :

x1 = 3 , y1 = 4

x2 = 6 , y2 = - 2


y - y1 = [ ( y2 - y1 ) / ( x2 - x1 ) ] * ( x - x1 )

y - 4 = [ ( -2 - 4 ) / ( 6 - 3 ) ] * ( x - 3 )

y - 4 = [ - 6 / 3 ] * ( x - 3 )

y - 4 = - 2 * ( x - 3 )

y - 4 = - 2 * x - 2 * ( - 3 )

y - 4 = - 2 * x + 6 Add 4 to both sides

y - 4 + 4 = - 2 * x + 6 + 4

y = - 2 x + 10


The straight line extends all the way to the left and right, so :

Domain = (-inf, inf)

Range = (-inf, inf)