## laurenbae 3 years ago What is the range of the following function? f(x)= -2x^4

1. agentx5

Best way to do this is to sketch/graph it IMHO :-) Here...

2. agentx5

|dw:1343073027841:dw|

3. agentx5

Zero is included, positive #'s are not. :-)

4. agentx5

"x" is your input y = f(x) = your output (with x as your input) Domain is the independent variable (x) Range is the dependent variable (y) Got it now @laurenbae ? :-)

5. agentx5

The origin is a quadruple root, crazy as that is to believe. :-D

6. laurenbae

so which answer would it be? im a little lost still lol A. all real numbers less than or equal to zero B. all real numbers except zero C. all real numbers greater than zero D. all real numbers E. None of the above

7. agentx5

Another way to think of it, in this case for x & y: Range is going to be where the graph is going to go vertically. It never goes above the x-axis as you can see, it's never positive. But it DOES include zero, four times in fact.

8. agentx5

Take a look at the sketch I drew to help you and think about it logically :-D

9. agentx5

Straight up giving out the answer would be breaking the spirit of the http://openstudy.com/code-of-conduct after all ^_^ You'll want to know how to do these types of problems as you'll probably see more of them, aye?