Graphs of Basic Exponential Functions • [7.1] PRE-CALCULUS 12

Want to learn about graphs of basic exponential functions? This video introduces this important family of functions graphically and numerically, and dynamically shows how the base affects the graphs and their features (general shape, domain & range, asymptotes, intercepts, end behaviour, etc.).
My instructional approach emphasizes conceptual understanding of and connections between concepts and ideas, rather than just pure memorization.

Corresponds to chapter 7, section 7.1 in McGraw-Hill's Pre-Calculus 12, but also fits with an exponents and logarithms unit from almost any other Pre-Calculus course or textbook.

#PreCalc12bytheAAMG

00:00 Introduction
00:12 Investigate y=2^x and y=0.5^x with Desmos Numerically & Graphically
07:38 Summarizing Features of y=2^x and y=0.5^x
11:16 Investigate y=b^x with various values of base b (using Desmos)
17:49 Summarizing the Effect of Changing the Base b in y=b^x
20:38 Summary of Features of the Basic Exponential Function y=b^x
22:21 Wrap Up and End Screen