Question

What is the range of `f(x) = 2x^2 + 1`?

Answer 1

`y in[1,oo)`

Explanation:

`"We require the vertex and whether it is a max/min"`
`"turning point"`

`y=2x^2+1`

`"is symmetrical about the y-axis and the coordinates of"`
`"it's vertex are"`

`"vertex "=(0,1)`

`"since "a>0" then it has a minimum turning point "uuu`

`"range is "y in[1,oo)`
graph{2x^2+1 [-10, 10, -5, 5]}