Topic : 1 2 3 4 5 6

Topic 1
Exponential Functions Lesson : 1 2 3 4 5 6 7

Lesson 2 : Natural Exponential Functions 

 Page : 1 2 3 4 
 

Graphical Explorations of the Natural Exponential Functions
Self-study Materials
Handout : 

Textbook:
 

A. Exploration of f(x) = ex 


With the aid of calculator, fill-in the table below.

x -3 -2 -1 0 1/2 1 1.2 2 2.5
ex .05

 

 

 

 1.65

 

 

 

 

 23.14
Now plot these points using the online graphing tool.

 

Refer to your graph to answer these questions:
  1. For largely negative values of x, the values of ex are close to (approaches to)

    2.   The values of ex are large for of x.

(once again, the submit buttons are not functioning...yet! but key in your answers please, your lecturer will record your answers)

Solutions and Explanations

B. Exploration of f(x) = ekx + c

Graph the following functions on a single graph using the online graphing tool.

  • f(x) = e-x + 2
  • g(x) = e-2x + 2
  • h(x) = e-3x + 2

 

Referring to the graphs, answer the following:

1.  What value do each of these three function approach when x > 5?

2.  Why do you think this happens?

(once again, the submit buttons are not functioning...yet! but key in your answers please, your lecturer will record your answers)

Solutions and Explanations

 

Page : 1 2 3 4 

Lesson : 1 2 3 4 5 6 7

Last Updated: Wednesday, 03 April 2002
 

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