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)=ln (x + 5)-4 )\na. the domain of ( f ) is ( (-5, infty) ).\n(type your answer in interval notation. 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 ( x = e^{4}-5 ).\n(type an exact answer. 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. 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)=ln (x + 5)-4 )\na. the domain of ( f ) is ( (-5, infty) ).\n(type your answer in interval notation. 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 ( x = e^{4}-5 ).\n(type an exact answer. 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. use a comma to separate answers as needed.)\nb. the function ( f ) has no ( y )-intercept.

Answer

Explanation:

Step1: Find the y - intercept

The y - intercept occurs when (x = 0). Substitute (x=0) into (y = f(x)=\ln(x + 5)-4). We get (y=\ln(0 + 5)-4=\ln(5)-4).

Answer:

A. The y - intercept of (f) is (y=\ln(5)-4)