Logarithmic Function graph!!

[9_7]

Hey guys, can someone guide me through this question??

y-2=loge(5x-2) with the domain (2/5, 6]

I drew it but apparently its incorrect?? :/

[Zealous]

Hi, what do you mean you drew it but "apparently" its incorrect?

You can always sketch the graph on your CAS with a restricted domain in order to see if your graph matches up with the question.

By the way, did they give you a restriction on the domain or did you restrict it yourself?

[9_7]

Hi, what do you mean you drew it but "apparently" its incorrect?

You can always sketch the graph on your CAS with a restricted domain in order to see if your graph matches up with the question.

By the way, did they give you a restriction on the domain or did you restrict it yourself?

They gave me the restriction. My teacher said the answer started at the point when y is 1 or something, I'm really confused

[Scooby]

Hey guys, can someone guide me through this question??

y-2=loge(5x-2) with the domain (2/5, 6]

I drew it but apparently its incorrect?? :/

Rearrange to make y the subject



There's a vertical asymptote where as its value is undefined.

Let
 




Therefore there is a vertical asymptote where

You can essentially ignore the vertical translation in determining the shape of the graph (but not the axes intercepts)

To find the y-value of the endpoint, sub





Therefore the endpoint is at 


You can find the x-intercept but solving

Hope that helped!