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About Scott A Wilson
Expertise
I can answer any question in general math, algebra, complex mathematics, trigonometry, pre-calculus, probability, statistics, ... is there an end to this list?

Experience
Experience in the area; I have tutored people over the years in algebra, basic math, and statistics. I worked at The Boeing Company for over 5 years. Education/Credentials: MS degreee in Mathematics from Oregon State Univeristy; taken well over 100 hours of upper division credits in mathematical courses such as calculus, statistics, probabilty, linear algrebra, powers, linear regression, matrices, and more. I graduated with honors. Past/Present Clients: College Students at OSU, various math people since college, over 700 people in math and calculus.
 
   

You are here:  Experts > Science > Mathematics > Advanced Math > Algebra

Topic: Advanced Math



Expert: Scott A Wilson
Date: 5/10/2008
Subject: Algebra

Question
QUESTION: How would I go about finding the exponential function ex and logarithmic function log x, graphically show the effect if x is doubled.

ANSWER: On e^x, note that as x gets extremely negative, e^x gets close to zero from the positive side (above the x axis).  At 0, the function is 1.  On the positive side, it quickly goes up faster and faster all of the time as x gets greater.  The ln(x) function is the inverse of e^x, so draw a line x=y.  The function treats this line like a mirror.

When x is doubled, the curve is increased in the x direction by around eight times.

Thank you for letting me answer this question and I am willing to explain it further or ask more questions.

---------- FOLLOW-UP ----------

QUESTION: How would I show this graphically?

Answer
I have never done this before, but there's a firts time for everything.  Let me try and send an image...
didn't work.  Maybe I'll figure out to do it eventually.  

Anyway, e^x is a graph that starts out right on top of the x axis when x is negative and increases slowly to one when x is 0.  After that, it slopes upward faster and faster as it goes to the right.


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