Question

can someone please help me find the range of this function

f(x) = (x - 2)2 + 2

Answer 1

range means what output we will get from this

Answer 2

If you look at its grapg you see the range starts from 2 and goes to positve infinity...

Answer 3

whatever value of x we will put here that will give positive output

Answer 4

beacuse square make that positive

Answer 5

min value we will get at x=2

Answer 6

So in interval notion that would be
\[[2,\infty)\]

Answer 7

thank you i think i got it now

Answer 8

np

Answer 9

if f(x) = (x-2)2+2
then f(x) = (x^2) - 4x +6
With y intercept being 6

Range: All real numbers greater than 6 since the parabola's minimum value is 6.
If you make a graph, you can clearly see it.