Learn how to graph exponential functions in this video by Mario's Math Tutoring. We discuss the parent function as well as a general equation for graphing exponential functions. We discuss how to find the horizontal asymptote in addition to how to tell whether a function is growth or decay. We also look at the exponential growth model and exponential decay model and how to apply it in a word problem. Lastly we discuss the formula for calculating compound interest.
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0:07 Form of an exponential function.
0:18 How to identify the y-intercept and whether the function is growth or decay.
1:12 Example a Graph y=2(3)^x by making a table.
2:46 How to find the domain and range of the exponential function
3:46 More general form of the exponential function
4:37 Example b graph y=2(3)^(x+1) - 3
6:04 Exponential Growth/Decay Model
7:17 Example c Depreciating car 20% per year,
8:04 Compound Interest Formula
9:14 Example d Compound interest example compounded monthly
11:33 Example 1 Graph y=(1/2)(2)^x State Domain & Range
13:03 Example 2 Graph y=-3(1/2)^x
14:29 Example 3 Graph y=4^(x-2) + 2
16:15 Example 4 Graph y=2(1/3)^(x+3) - 1
17:51 Example 5 Exponential Growth Model word problem
18:47 Example 6 Compound Interest Word Problem
Related YouTube Videos to Help You:
What is Decay Factor, Decay Rate, Growth Factor, Growth Rate?
https://youtu.be/VrkQKiCqryk
Exponential Equations Given a Table
https://youtu.be/Z_cwM4SZHus
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