Question

How do you find the range of `f(x) = 2x²` if {-2, -2, 0, 1/2}?

Answer 1

The range is the set of y values

Explanation:

Simply plug in all of your domain (x) values into your equation and calculate each y value. Be sure to use parenthesis correctly.

Example: `2(-2)^2=2*4=8`

Answer 2

`y in{8,0,1/2}`

Explanation:

`"the range is the corresponding values of y for the "`
`"given values of x in the domain"`

`"domain is "x in{-2,0,1/2}`

`rArrf(color(red)(-2))=2(color(red)(-2))^2=2xx4=8`

`rArrf(color(red)(0))=2(color(red)(0))^2=0`

`rArrf(color(red)(1/2))=2(color(red)(1/2))^2=2xx1/4=1/2`

`"range is "y in{8,0,1/2}`