## anonymous one year ago Help with Continuity and End Behavior, please!

1. anonymous

2. anonymous

3. anonymous

4. idku

$$x^4$$ 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)

5. idku

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

6. idku

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

7. anonymous

So would 2 be A? Or am I misunderstanding?

8. jim_thompson5910

|dw:1444355025772:dw|

9. jim_thompson5910

let's graph h(x) = -2x^4 |dw:1444355037311:dw|

10. jim_thompson5910

it kinda looks like a parabola, but it's not really a parabola

11. jim_thompson5910

what happens when x gets larger and larger (approaching +infinity) ?

12. anonymous

It stretches.

13. jim_thompson5910

what happens to the y coordinate of the point?

14. anonymous

It gets smaller?

15. jim_thompson5910

y approaches -infinity I think is what you mean?

16. anonymous

Yes

17. jim_thompson5910

correct so h(x) --> -infinity as x --> infinity

18. jim_thompson5910

how about as x --> -infinity

19. anonymous

h(x) ---> infinity?

20. jim_thompson5910

look at the graph

21. anonymous

Oh -infinity

22. jim_thompson5910

yes

23. anonymous

So, c?

24. jim_thompson5910

correct