Question

Question #5f987

Answer 1

The end behavior is that the function tends toward infinity (grows without bound) as `x` goes to positive and negative infinity: `lim_(x to oo)f(x) = oo` and `lim_(x to -oo)f(x) = oo`.

Explanation:

`f(x)` is an even function with positive leading coefficient, so:

`lim_(x to oo)f(x) = oo`

and

`lim_(x to -oo)f(x) = oo`,

which is true of all even degree functions with a positive leading coefficient.

So the end behavior is that the function tends toward infinity (grows without bound) as `x` goes to positive and negative infinity.