Question

Consider the function g(x) = x^3 - 12x.

(a) Indicate the x- and y-intercepts. (Order your answers from smallest
to largest x. If an answer does not exist, enter DNE.)​

Answer 1

Answer:

-sqrt(12), 0 and  sqrt(12)

Step-by-step explanation:

g(x) =  x(x^2 -12)

g(x) = x(x- sqrt(12))(x + sqrt(12))

Hence, this function has 1 real solution and two imaginary solution.

Real Solution: x =0;

Two Imaginary solutions: x = -sqrt(12) and x = +sqrt(12)