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Title: College Algebra: Exploring Exponential Functions
Book Description: In this unit, we explore a new culture in the world of functions. As you recall, in unit 2, we studied linear functions and identified them numerically (constant rate of change), graphically (straight line), and symbolically ( y = mx+b). Similarly, in unit 3, we studied quadratic functions and identified them numerically (rate of change is not constant but changes at a constant rate), graphically (parabola), and symbolically ( y = a*x^2+b*x+c ).
We proceed the same way here in our exploration of exponential functions. We will identify them numerically, graphically, and symbolically. These functions are encountered in many aspects of our daily lives. Along the way, we discover a very special number: the number e. It is referred to as Euler's number. The importance of such a number becomes clearer as we progress through this unit. This number shares many of the characteristics of the number p. In particular, it is an irrational number: its decimal part never terminates or repeats in a pattern.
Author: Samad Mortabit
Contained
in College Algebra Course. (Lab 7)
Suggested Use: College algebra or Precalculus level introduction to functions. Explanations are under the exclamation point (!) buttons.
Topics: College Algebra, Graphing, Relations, Euler number, Exponential Functions, Compound Interest, Exponential Growth Models
Number of Pages: 5
Animation: Yes
Grade
Level: 