Hi, I was wondering if someone could help me on this problem?
The domain of the function \(q(x) = x^4 + 4x^2 + 4\) is \([0,\infty)\). What is the range?
Thank you so much!
Factor this as
(x^2 + 2)^2
This has no real zero ......so....the function lies entirely above the x axis
Since both of the variable terms only have minimums when x = 0, the minimum of the fuction = 4
So....the range is [ 4, infinity )