Course:MATH110/Archive/2010-2011/003/Homework/2

Need some help for the homework? Ask your questions here. --DavidKohler

help! how do you do this problem: The domain of the function h(x)=(x+11)^2(2x-12)^{1/4} is

thanks!

If you mean $h (x) = (x + 11)^{2} (2 x - 12)^{1 / 4}$ , what could go wrong? What potential issues do we have to think about? The question of the domain here really means: for which values of x does $h (x)$ make any sense?

--DavidKohler 21:11, 2 October 2010 (UTC)

Let me give this a try: I think we should mind the ^(1/4); we'll have to make sure (2x-12) is not negative; for that, perhaps x might have to be equal or greater to 6...?

Arabella.

Seems to make sense. :)
--DavidKohler

A2 Question 10

I gave this question a try but it's not making any more sense:

"The graph of the function f(x)=-4^x can be obtained from the graph of g(x)=4^x by one of the following actions:"

I don't know how the changes are reflected on the graph...I'd say the function has shifted vertically. What would the range for this be? I am lost...a hint please, someone? Thanks kindly.

Arabella.

Hi Arabella,
My suggestion would be to compare the simpler graphs of $x^{2}$ and $- x^{2}$ and see what the changes are between those two. You should have a similar result for your own graph. Good Luck!
BenJeffery

Homework Part 3

Hi David, I was just wondering; we can include one of proofs we studied in class, provided we research further about it? Thanks kindly.

Arabella.

If there's further research, sure.
--DavidKohler

A2 - Problem 15

Hi everyone,
Question 15 involves forming a box by cutting squares out of the corners of a flat sheet and folding the remaining pieces to make the box.
I have the equation for the box, but was wondering about the following:
"If we write the domain of the box as an open interval in the form (a, b) , then what is a?"
I was wondering what it meant by the "domain of the box". Does this mean the domain of all x, the domain of the volume, or something else?
Thanks!
BenJeffery