Mathematics

Question

Can you help me with this function: f(x)=a.sin(x-h)+k I need the basic form, and the domain and range. Thank you! Jackie

Answer

Hi Jackie,<BR><BR>I'm not sure what is meant by "basic form" in this context.&nbsp;&nbsp;<BR><A href=http://www.physics.mcgill.ca/~moore/P101/Lectures/Lecture-8.pdf">http://www.physics.mcgill.ca/~moore/P101/Lectures/Lecture-8.pdf</A>, page 10, suggests that the equation is already in basic form.&nbsp;&nbsp;<BR><BR>Perhaps you are wanting something else.... a general description of the graph, perhaps?&nbsp; The equation is&nbsp;a sine curve, with amplitude a, period 2*pi(), and phase shift h.&nbsp;&nbsp;<BR><BR>The domain is the "input" of the function, and the range is the "output" of the function.&nbsp; The sine, and consequently this function,&nbsp;is defined for any real number.&nbsp; The sine function is bounded by +1 and -1; when you multiply by a (I am assuming that your period is a multiplication sign), it becomes +a and -a.&nbsp; Now add k, and the range becomes [-a+k,a+k].&nbsp;&nbsp;<BR><BR>Joe M.<BR>Forest Inventory and Analysis<BR>Knoxville, TN<BR><BR><BR> http://vrd.askvrd.org/services/answerschema.xml