summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of ( y =…

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

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

Answer

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))