Is there some way to know how to sketch equations that do not graph correctly on the calculator.
Stuff like your ln(something) or your e^x(something).
According to my prof, these equations do not graph correctly on the calculator, so he said we need to memorize them. Is this correct? Or is there another way?
If the first is correct, is there someplace that has the correct sketches of these type equations?
and where is a continuous nonnegative function and is continuous, should produce accurate graphs on most graphing utilities.
If you want to sketch them by hand, use the methods you learn in calculus to determine continuity, find extrema, determine where the function is increasing or decreasing, find concavity, locate inflection points, and so on, and then plot some points and sketch the graph accordingly.