Question

Which is the range of the relation y = 2x2 + 3x if the domain is the set {-2, -1, 0}?

A {10,1,0)
B.{-1,-5,0)
c. {2,-1,0)
D. (2. 1.0)

Answer 1

Given:

The function is:

`y=2x^2+3x`

Domain is the set {-2, -1, 0).

To find:

The range of the given relation.

Solution:

We have,

`y=2x^2+3x`

Substituting
`x=-2`, we get

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

`y=2(4)+(-6)`

`y=8-6`

`y=2`

Substituting
`x=-1`, we get

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

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

`y=2-3`

`y=-1`

Substituting
`x=0`, we get

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

`y=0+0`

`y=0`

The range for the given relation is {2, -1,0}. Therefore, the correct option is (c).