Question

Find the domain and all the intercepts for this equation.

y=-2x^4+3x^2

Answer 1

clearly you could plug in any x you feel like into the function, so the domain is the set of reals

let x = 0, so y = 0, the y-intercept is 0 (the origin)

let y = 0
-2x^4 + 3x^2 = 0
x^2(2x^2 - 3) = 0
x = 0 , same as above
or
2x^2 = 3
x^2 = 3/2
x = ±√(3/2)