Question

what is the end behavior of this radical function? f(x) = 4|x-6

Answer 1

f(x)= 4√(x-6)

To find the end behavior of a function

Take the limit of the function as x tends to infinity ( not minus infinity because the number under the square root cannot be less than zero)

lim x⇒ ∞ 4√(x-6) = ∞

So, as x approaches positive infinity, f(x) approaches positive infinity.