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 Algebra Pre-Algebra and Basic Algebra Math Forum

 May 30th, 2014, 09:29 AM #1 Newbie   Joined: May 2014 From: Texas Posts: 8 Thanks: 0 help with functions Let C denote the graph of y=1/x, x > 0. (a) Express the distance between the point P(1,0) and a point Q on C as a function of the x-coordinate of Q. (b) What is the domain of the distance function obtained in part (a)? (c) Use the graph of the distance function obtained in part (a) to estimate the point Q on C that is closest to the point P. May 30th, 2014, 11:42 AM #2 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,689 Thanks: 2669 Math Focus: Mainly analysis and algebra Your point $Q(x,y)$ is on the line $y = \frac{1}{x}$. In other words we can write that the point $Q$ is $(x,\frac{1}{x})$. Now you have to work out the distance $s(x)$ between $P$ and $Q$. Can you do that? Thanks from mustangman578 May 30th, 2014, 06:46 PM #3 Newbie   Joined: May 2014 From: Texas Posts: 8 Thanks: 0 I'm assuming its the distance formula but I'm not sure May 30th, 2014, 07:50 PM #4 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,689 Thanks: 2669 Math Focus: Mainly analysis and algebra That's it exactly. Thanks from mustangman578 May 31st, 2014, 07:17 AM #5 Senior Member   Joined: Nov 2013 From: Baku Posts: 502 Thanks: 56 Math Focus: Geometry The distance between points $\displaystyle (a_1 , b_1 )$ and $\displaystyle (a_2 , b_2)$ is $\displaystyle \sqrt{(a_1 - a_2)^2 + (b_1 - b_2)^2 }$ Thanks from mustangman578 Tags functions Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post panky Applied Math 1 August 10th, 2012 02:00 AM lamhmh Applied Math 2 June 19th, 2011 09:59 PM PokerKid Algebra 10 October 25th, 2008 08:39 AM sel Calculus 3 October 21st, 2008 03:48 AM haddad287 Calculus 0 September 29th, 2008 05:37 PM

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