Question

6. What is the range of the relation y = 2x+ + 3x if the domain is the set (-2,-1,0}? 1) {2,1,0} 2) {2,-1,0) 3) {-1,-5,0 4) {10,1,0}

Answer 1

For the given relation

`y=2x^2+3x`

With domain {-2, -1, 0}.

The domain represents all possible values of x, also called input, of the relationship and the range represents all the values of y, also called output, obtained when you replece the formula with the given values of x.

To determine the range of the valiable you have to do as follows:

For x=-2

`y=2(-2)^2+3(-2)=2`

For x=-1

`y=2(-1)^2+3(-1)=-1`

For x=0

`y=2(0)^2+3\cdot0=0`

For the relation with domain {-2,-1,0} the range is {2, -1, 0}

The correct option is number 2)