y = ln f(x) (1 Viewer)

[Masaken]

is the above transformation tested in exams? (eg. given a curve f(x) drawn out, sketch the transformation y = ln f(x)?) it's not in the textbooks i use for school and i've only seen it appear in my tutoring qns and i think once in a school paper ages ago but that was it

 

[Trebla]

In general, if you are given two graphs of y = f(x) and y = g(x) then you are expected to know how to sketch y = f(g(x)). See this year’s HSC for Advanced.

 

[5uckerberg]

In general, if you are given two graphs of y = f(x) and y = g(x) then you are expected to know how to sketch y = f(g(x)). See this year’s HSC for Advanced.

This is just from what I know the function of a function, replace with the equation given and then let f(...) where ... is the equation and then sub that new function into what is.

 

[yanujw]

is the above transformation tested in exams? (eg. given a curve f(x) drawn out, sketch the transformation y = ln f(x)?) it's not in the textbooks i use for school and i've only seen it appear in my tutoring qns and i think once in a school paper ages ago but that was it

It is not part of the further graphs topic set of transformations in ext 1, if that is what you meant.

 

[Trebla]

This was in this year's Mathematics Advanced HSC.


In my mind, if a composite function graph is examinable in Advanced (which seems to suggest they can even ask to sketch y = ln f(x) in Advanced) what's the point of having all these below in Extension 1?

They are literally specific examples of y=f(g(x)) lol (albeit with inverse versions)