The domain of the function q(x) = x^4 - 4x^2 + 4 is [0,infinity). What is the range?
+129849 At x = 0, y = 4
We can find the first (and only) positive root as
(x^2 - 2)^2 = 0
x^2 - 2 = 0
x^2 = 2 take the positve root
x = sqrt (2)
This root is of a multiplicity of 2 which means that the graph touches the x axis at x = sqrt 2 but does not pass through the x axis.....and the graph to the right of this point is ever-increasing
So the range = the domain = [0, inf )
See the graph here : https://www.desmos.com/calculator/6ary7m5ryp
