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} )\na the domain of ( f ) is ( (-infty, infty) ).\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.\nselect the correct choice below and, if necessary, fill in the answer box to complete your choice.\na the ( x )-intercept(s) of ( f ) is/are ( x = 0, \frac{9}{4} ).\n(type an exact answer, using radicals as needed. type an integer or a fraction. use a comma to separate answers as needed)\nb the function ( f ) has no ( x )-intercepts\nselect the correct choice below and, if necessary, fill in the answer box to complete your choice.\na the ( y )-intercept of ( f ) is ( y = )\n(type an exact answer, using radicals as needed. use a comma to separate answers as needed)\nb. the function ( f ) has no ( y )-intercept

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} )\na the domain of ( f ) is ( (-infty, infty) ).\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.\nselect the correct choice below and, if necessary, fill in the answer box to complete your choice.\na the ( x )-intercept(s) of ( f ) is/are ( x = 0, \frac{9}{4} ).\n(type an exact answer, using radicals as needed. type an integer or a fraction. use a comma to separate answers as needed)\nb the function ( f ) has no ( x )-intercepts\nselect the correct choice below and, if necessary, fill in the answer box to complete your choice.\na the ( y )-intercept of ( f ) is ( y = )\n(type an exact answer, using radicals as needed. use a comma to separate answers as needed)\nb. the function ( f ) has no ( y )-intercept

Answer

Explanation:

Step1: Find the y - intercept

To find the y - intercept, we set (x = 0) in the function (y=f(x)=4x^{6}-9x^{5}). Substitute (x = 0) into the function: (y=4\times0^{6}-9\times0^{5}=0)

Answer:

A. The y - intercept of (f) is (y = 0)