first calculus assignment of the year

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September 13th 2009, 12:47 PM
OCD

first calculus assignment of the year

Hi, first post here. Also first calculus assignment; it's called preparation for calculus so I feel like it's supposed to be easy, and I feel a bit of shame that I'm asking for help, but here goes.

1. Find the intercepts (if any).
$y=(x-1)/(x-2)$

2. Check for symmetry with respect to both axes and to the origin. Show work.
$x^2y-x^2+4y=0$

I hope this is in the right place (it may really be more of pre-calculus work) and thanks!
September 13th 2009, 01:15 PM
VonNemo19

Quote:

Originally Posted by OCD

Hi, first post here. Also first calculus assignment; it's called preparation for calculus so I feel like it's supposed to be easy, and I feel a bit of shame that I'm asking for help, but here goes.

1. Find the intercepts (if any).
$y=(x-1)/(x-2)$

2. Check for symmetry with respect to both axes and to the origin. Show work.
$x^2y-x^2+4y=0$

I hope this is in the right place (it may really be more of pre-calculus work) and thanks!

1. when y is zero, what is x? Conversly, when x is zero, what is y?

2. Begin by solving for y.

a)if your insert any -x and x which both yield a positive y, then there is symetry about y.

b)If x gives y, and -x gives -y, thenthere is symetry about the origin.

c) assuming that y is not a function, then if x gives two values of y (+/-y), then there is symetry about the x axis.
September 13th 2009, 01:30 PM
OCD

thanks! I think I've got 1 now.

The problem with # two is splitting up the x and the y at the beginning. That's where I keep getting stuck because I subtract $-x^2$ from the left side and then try to divide the other $x^2$ to separate it from the y, but I know this isn't right.