Question

Help with Continuity and End Behavior, please!

Answer 1

\(x^4\) will tend to positive infinity as x approaches pos/neg infinity.
(because the power is even)

When this is multiplied times -2, i.e. \((-2)\cdot x^4\), it then tends to negative infinity.
(Roughly saying that: infinity × negative = - infinity)

Answer 2

3)
Concave up parabola (opens up)

It will decrease (negative slope) up to vertex, and from vertex and on it will increase (positive slope)

Answer 3

4)
Decreases up to vertex, and from vertex and on increases.

Answer 4

So would 2 be A? Or am I misunderstanding?

Answer 5

let's graph h(x) = -2x^4