Graphing Exponential Functions has never been easier!
Jenn, Founder Calcworkshop®, 15+ Years Experience (Licensed & Certified Teacher)
First we need to see what an exponential graph looks like, and determine if there are any similarities between different exponential functions.
What we discover right away, is that there are very strong characteristics that all Exponential Functions have in common, and that means we can use this knowledge to our advantage.
How?
Well, as wonderful as it is to plot points after creating a table of values, it can be tedious at times.
And, if you decide to use graphing calculator you need to watch out because as Purple Math so nicely states, a graphing calculator can carry only so many decimal places, so it may provided some misleading values.
Graph of an Exponential Function
So what’s better than plotting points and making a table of values?
Transformations!
We are going to learn the tips and tricks for Graphing Exponential Functions using Transformations, that makes these graphs fun and easy to draw.
We begin by noticing that all of the graphs have a Horizontal Asymptote, and finding its location is the first step.
Then all we have to do is pay close attention to our signs (positive or negative) and we can graph anything!
Together we will walk through 12 different examples, step-by-step, and determine the Domain and Range for each Exponential Function we graph.
Graphing Exponential Functions – Video
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