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)=4 x^{6}-9 x^{5} )\nselect the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the domain of ( f ) is\n(type your answer in interval notation. type an exact answer, using radicals as needed. use a comma to separate answers as needed)\nb. the domain of ( f ) is empty.

summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of ( y = f(x) ).\n( f(x)=4 x^{6}-9 x^{5} )\nselect the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the domain of ( f ) is\n(type your answer in interval notation. type an exact answer, using radicals as needed. use a comma to separate answers as needed)\nb. the domain of ( f ) is empty.

Answer

Explanation:

Step1: Analyze the function type

The function ( f(x)=4x^{6}-9x^{5}) is a polynomial function.

Step2: Determine 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\in R)), the domain is all real numbers. In interval notation, the set of all real numbers is ((-\infty,\infty))

Answer:

A. The domain of (f) is ((-\infty,\infty))