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VCE Stuff => VCE Mathematics => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Mathematical Methods CAS => Topic started by: 9_7 on May 18, 2013, 01:13:14 pm

Title: Logarithmic Function graph!!
Post by: 9_7 on May 18, 2013, 01:13:14 pm
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?? :/
Title: Re: Logarithmic Function graph!!
Post by: Zealous on May 18, 2013, 03:53:53 pm
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?
Title: Re: Logarithmic Function graph!!
Post by: 9_7 on May 18, 2013, 05:01:36 pm
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
Title: Re: Logarithmic Function graph!!
Post by: Scooby on May 18, 2013, 08:12:02 pm
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! :)