Some questions about my assignment of functions

[andreipanait]

Hi, I've been sick over the last week (strep throat) and I just found out today that I have to hand in an assignment by 2pm. I've completed all the problems but 4 which I don't know how to do. If someone could do them or help me do them asap i'd be forever grateful.
1)Is the following graph symmetric with respect to:
a)the x-axis b)the y-axis c)the origin
y=(x^2 - 4)/(2x^2)

2)Find the domain of
a)7Sqrt(x^3-1) ... it's the little 7 ontop of the sqrt, not 7 * sqrt
b)(2)/(x^2 + 6x + 9)
c)|x|+4

3)find the average rate of change of the f(x)= x^3 from 1 to 2x

4)if y=|x| then draw the following graph
a)y=|x+2|
b)y=|x| +4
c)y=|x+2| + 4
I realize that you won't be able to graph it in form of text so this is my e-mail european_footballstar@hotmail.com
Please show your work*
If anyone at all could help me I would really appreciate it and you'd be saving my life! Desperate please help !

 

[HallsofIvy]

Hi, I've been sick over the last week (strep throat) and I just found out today that I have to hand in an assignment by 2pm. I've completed all the problems but 4 which I don't know how to do. If someone could do them or help me do them asap i'd be forever grateful.
1)Is the following graph symmetric with respect to:
a)the x-axis b)the y-axis c)the origin
y=(x^2 - 4)/(2x^2)

First thing you are going to have to do is show a little effort on your part. What is the DEFINITION of "symmetric with respect to " the x-axis, the y-axis, the origin?

2)Find the domain of
a)7Sqrt(x^3-1) ... it's the little 7 ontop of the sqrt, not 7 * sqrt

Then it's not a squareroot at all- it is a 7th root.

b)(2)/(x^2 + 6x + 9)
c)|x|+4

Unless otherwise given, the domain is the set of all x for which the caculation can be done. For each of these is there any x for which it CAN'T be done?

3)find the average rate of change of the f(x)= x^3 from 1 to 2x

You mean from 1 to 2. How much is f(2) different from f(1)? How much does it change "per x"?

4)if y=|x| then draw the following graph
a)y=|x+2|
b)y=|x| +4
c)y=|x+2| + 4

Again, what you have said makes no sense. If y= |x| then it can't be any of those other things. I suspect you mean that you are given the graph of y= |x| and are supposed to use it to graph these other functions. Hint: each of these changes shifts the graph left-right or up-down. Which is which?

I realize that you won't be able to graph it in form of text so this is my e-mail european_footballstar@hotmail.com
Please show your work*
If anyone at all could help me I would really appreciate it and you'd be saving my life! Desperate please help !

Tricking your teacher into thinking you know how to do these when you don't is not saving your life- it's just making things harder for you later. By the way, it's a very bad practice to give your e-mail address out profigately. I won't e-mail you because I don't want you to have my e-mail address.

 

[HallsofIvy]

I've merged the two threads into one.

andreipanait, you were supposed to have read the forum rules before posting:

Do NOT post homework in the MATH threads.

Do NOT post the same thing more than once.

For homework help-TRY and show us what you have done.