use the factored from the polynomial function below to describe it's domain and range. x^2(x-1)(x+3)(x-2)=0

Question

^

Answer 1

Because this is a polynomial (if you multipied it all out, all of the exponents would be positive integers), and these are "nice" graphs - smooth curves, no quick changes, no x's without y-values... so their x's start at negative infinity and go to positive infinity. This is a DOMAIN of ALL REAL NUMBERS or in interval notation it is (-∞, +∞)

Again, if you multiplied all of these terms together, the leading term (the one with the biggest exponent) would have an exponent of 5 (x⁵) which makes it an ODD polynomial. All odd polynomials have y-values from neg infinity to pos infinity, so it has a RANGE of ALL REAL NUMBERS or in interval notation it has a range of (-∞, +∞)