Is there a trick for Graphing Logarithmic Functions?
Jenn, Founder Calcworkshop®, 15+ Years Experience (Licensed & Certified Teacher)
Yes!
I’m going to show an insanely easy to follow 3-Step process that allows you to graph any logarithmic function quickly and easily.
The power is in understanding Transformations and be able to identify the vertical asymptote.
As Purple Math nicely states, logs are just the inverses of exponentials, so their graphs are merely a “flip” from each other.
But sadly, a lot of students get mixed up between exponential functions and logarithmic functions, when it comes to graphing.
But don’t worry, because the key to what these graphs look like can be found by analyzing their first letters.
Huh?
Yep, just look at the first letter of the word exponential.
Do you see the “e”?
Natural Log Graph
Notice that they only way to make that letter is to create a small horizontal line? Well, that tells you it’s going to have a horizontal asymptote.
And now look at the first letter in the word logarithm. That’s right, it’s an “l”, and this looks just like a vertical line…
…which screams to you, vertical asymptote!
So now you’ll never be mixed up again! Phew!
But there are even more fun techniques on how to graph logs, which will make you feel like you’re waving from your seat each time you graph!
Trust me, these three steps are fun and will make Graphing Logarithmic Functions super enjoyable and painless.
Together we will look at twelve different examples, where we will graph each log function using transformations, and then identify their domain and range.
Graphing Logarithmic Functions – Video
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