IMPOSSIBLE
y = x2 is an (approximately) U shaped graph that is entirely above the x axis and is symmetric about the y axis. y = x3 is asymptotically negatively infinite when x is negatively infinite and positively infinite when x is positively infinite. It is symmetric about the line x+y=0.
x3
find x3+y2 if x=4 and y=3 ( 4*4*4)+(3*3) 64 +9 =73
2x2-y2
IMPOSSIBLE
y = x2 is an (approximately) U shaped graph that is entirely above the x axis and is symmetric about the y axis. y = x3 is asymptotically negatively infinite when x is negatively infinite and positively infinite when x is positively infinite. It is symmetric about the line x+y=0.
(a) y = -3x + 1
x3
find x3+y2 if x=4 and y=3 ( 4*4*4)+(3*3) 64 +9 =73
1
2x2-y2
Let y = x3 - 8, then y' = 3x2 + 0 = 3x2.
If x = -7, then x3 = -343 so that 2x3 = -686 y = 2 then 15 y = 30 So 2x3 + 15y = -686 + 30 = -656
y = kx3/2If y2 varies directly with x3, then y varies directly with sqrt(x3) or x3/2.Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. If your question is not answered, please resubmit it, spelling out the symbols as "plus", "minus", "equals" etc. Also use ^ to indicate powers (x^2) or x-squared. :-)
Yes, y = -x3+1 is a function. You can graph it and see that it passes the vertical line test. See related link, below.
x6 - y6 = (x3)2 - (y3)2 = (x3 + y3) (x3 - y3) = (x + y)(x2 - xy + y2)(x - y)(x2 + xy + y2)