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

What Is The End Behavior Of This Radical Function Fx 4x6 class=

Answer :

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.