Emethyst
Sep14-09, 12:59 AM
1. The problem statement, all variables and given/known data
If F=Kx^n, where K>0 and n>1, sketch the graphs of F vs. x, F vs. x^n, and logF vs. logx. What information is obtained from each graph? Be specific.
2. Relevant equations
n/a
3. The attempt at a solution
No idea where to start with this one, as it's stumping me greatly. From the information given, i'm guessing that for the first graph of F vs. x it will be a simple linear graph, F vs. x^n will be a vertical parabola, and logF vs. logx will be a horizontal parabola, however, i'm unsure what information these graphs would give me (if they are even the right graphs I need to draw). If someone could point me in the right direction here it would be greatly appreciated, thanks in advance.
If F=Kx^n, where K>0 and n>1, sketch the graphs of F vs. x, F vs. x^n, and logF vs. logx. What information is obtained from each graph? Be specific.
2. Relevant equations
n/a
3. The attempt at a solution
No idea where to start with this one, as it's stumping me greatly. From the information given, i'm guessing that for the first graph of F vs. x it will be a simple linear graph, F vs. x^n will be a vertical parabola, and logF vs. logx will be a horizontal parabola, however, i'm unsure what information these graphs would give me (if they are even the right graphs I need to draw). If someone could point me in the right direction here it would be greatly appreciated, thanks in advance.