First, how do you determine whether a fuction is even or odd?
eg. f(x)= 5x^2 - 10
Second, how do you find the point of intersection between two lines when given the equations of each line?
eg. Find the point of intersection between the lines y= 8x - 20 and y= -5x - 12
The next question was explained the day i got The Seat From Hell (in the corner where there's a heavy flea and ant infestation) and was too busy scratching every inch of my body bloody to pay attention. I checked the book and the cd that came with it, but both of them are about as useful asking whether the correct form of a list is "<something>, <something>, and <something>" or "<something>, <something> and <something>" at an english teacher convention.
Given g(x) = (1/2)x + 5 find g^-1(x) (aka inverse) if it exists.
Thanks in advance for any help you can give.
Set the equations equal to each other and solve for x. Then plug x back in.
I think. [ 09-22-2003: Message edited by: Vorbis ]
quote:
From the book of Vorbis, chapter 3, verse 16:
eg. Find the point of intersection between the lines y= 8x - 20 and y= -5x - 12Set the equations equal to each other and solve for x. Then plug x back in.
I think.
*pounds head on table*
thanks, i couldn't for the life of me remeber that 
Second question. just set them equal to each other. So in the example given...
y=8x - 20
y=-5x - 12
8x-20=-5x-12
3x=8
x=8/3
Then just substitute back in...
y=8(8/3) - 20
y=64/3 - 20
point of intersection is (8/3,64/3-20)
For inverses you substitute y for x then solve for y. So...
y=1/2x+5
x=1/2y+5
x-5=1/2y
2x-10=y
Easy stuff.
F(-x) = F(x), even
F(-x) = -F(x), odd.
Fairly sure that is the way, and you should learn it that way, because sin(x) does not involve powers, yet it is... eh... that is a bad example actually since it is even for quadrant 1 and 2, but odd in quadrants 3 and 4, I believe.
You get the point. [ 09-22-2003: Message edited by: Valso the WhiteDragon ]
