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Expert: - 5/8/2008


Question
How would I go about answering this question, "Give an example of an exponential function. Find this exponential function's inverse which will be a logarithmic function. Plot the graph of both the functions and post to the discussion forum. Discuss these functions and their graphs with your classmates.

Answer

Exp(x) and Ln(x)
Questioner:   Iyana
Category:  Advanced Math
Private:  No
 
Subject:  Advanced Algebra

Hi, Iyana,

Question:  How would I go about answering this question, "Give an example of an exponential function.

>> You would tell everyone the definition.  Then you would write:

y = e^x

as an obvious example.



2.Find this exponential function's inverse which will be a logarithmic function.

>> Of course it would. It would be

y = ln(x)

Plot the graphs of both the functions

>> See attached. Of course you show the graph of y = x to display the symmetry.

and post to the discussion forum. Discuss these functions and their graphs with your classmates.

>> Sorry, that's all I can do.

Paul Klarreich

Expertise

I can answer questions in basic to advanced algebra (theory of equations, complex numbers), precalculus (functions, graphs, exponential, logarithmic, and trigonometric functions and identities), basic probability, and finite mathematics, including mathematical induction. I can also try (but not guarantee) to answer questions on Abstract Algebra -- groups, rings, etc. and Analysis -- sequences, limits, continuity. I won't understand specialized engineering or business jargon.

Experience

I taught at a two-year college for 25 years, including all subjects from algebra to third-semester calculus.

Education/Credentials
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