Question

summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of ( y = f(x) ).
( f(x)=2 x^{4}-12 x^{2} )
what is the domain of the function?
the domain is
(type your answer in interval notation. use a comma to separate answers as needed.)

Explanation:

Step1: Analyze the function type

The function \( f(x)=2x^{4}-12x^{2} \) is a polynomial function.

Step2: Recall the domain of polynomial functions

For any polynomial function \( y = a_nx^n+\cdots+a_1x + a_0\) (\(n\) is a non - negative integer and \(a_i\) are constants), the domain is all real numbers. In interval notation, all real numbers are represented as \((-\infty,\infty)\).

Answer:

\((-\infty,\infty)\)