Example3:
We recallthe first equationas linearso that its graphis a straightline. Can you determinethe intercepts?
Solution:
-interceptat and -interceptat
Example4:
We recallfrom pre-calculusthat the secondequationis that of a circlewith center and radius
Can you showanalyticallythat the radiusis
Solution:
Find the four intercepts,by setting and solvingfor , and then setting and solvingfor.
Example5:
The third equationis an exampleof a polynomialrelationship.Can you find the interceptsanalytically?
Solution:
We can find the -interceptsanalyticallyby setting and solvingfor So, we have
So the -interceptsare locatedat and Notethat is also the -intercept.
The -interceptscan be foundby setting. So, we have