Answer:
Step-by-step explanation:
The given function is,
[tex]y=\log(-x)[/tex]
The parent function of it is,
[tex]y=\log(x)[/tex]
In [tex]y=\log(x)[/tex] graph y-axis is an asymptote (vertical) , so never crosses the y-axis. Hence no y intercept. And x intercept of [tex]y=\log(x)[/tex] is x=1.
The sign of x is changed in the given function [tex]y=\log(-x)[/tex] as compared to its parent function [tex]y=\log(x)[/tex]
While reflecting over y axis or x=0 line, only the sign of x changes.
So graph of [tex]y=\log(-x)[/tex] is the reflection of [tex]y=\log(x)[/tex] over y axis. Hence it has no y intercepts, x intercept at x= -1 and y-axis as asymptote (vertical).
