what is the y intercept?

what is the y intercept?

y = 0

Is there any symmetry?

Is there any symmetry?

yes odd because f(-x) = -f(x) so odd symettry

**On what intervals is the function increasing?**

\(\displaystyle x^4 - 8x^2 + 16 = 0

(x^2 - 4)(x^2 - 4) = 0

x +- 2\)

(infinity,-2)U(-2,2)U(2,infinity)

**is it decreasing?**

It is never decreasing bc: when you plug in a 0 you get a 0 which is not negative, so it can't be decreasing.

Where does the function have a local maximum?

Where does the function have a local maximum?

x = none because it is never decreasing

**Where does the function have a local miniomum?**

x = None because again it is never decreasing.

Where is the function concave up?

Where is the function concave up?

Take second derivative and get

\(\displaystyle g''(x) = 4x(x^2 - 4)\)

now i need to plug in two numbers a number smaller than the horizontal asymptote and one larger than the horizontal asymptote? but how do I know what they are? Like what Do i need to do at this point, cause i am kind of lost.

Where are the inflection points?

Where are the inflection points?

Again I need help