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).