* Graphing Calculator activities with Expontenial Functions *  Exercise 2 *

The graphs of   Exponential Functions are a simplistic and unique set of curves.

There are two fundamental sets of Logarithmic and Exponential Functions to be investigated.

To understand Loagarithmic Funcsitons, it is necessary to also understand Exponential Functions.

Log _B N = E B^E = N Anti Log _B N = E

Graphing Calculators are extremenly useful with the investigation of Logarithmic & Exponential functions.

The activities below will start with Base (10) Functions then switch to Base (e) Functions.

Before we begin maybe a quick look at the famous irrational number ( e ) !

A review of Exponential Functions might be helpful.    Let's try some exercises with a Graphing Calculator.

Remember all you have to do is type in the GC Mode of the equation and press enter.

Remember to use  *  for multiply and /  for divide and ^   for exponents.

Maybe,  print out this page before starting this Graphing Calculator activities.

1. Using the review on Exponential Functions, predict the shape of this graph.

Note the difference between the left one and the right one. Why difference?

Math Mode: Y = 10^X Math Mode: Y = – 10^X

GC Mode: 10^X GC Mode: – 10^X

2. Using the review on Exponential Functions, predict the shape of this graph.

Note the difference between the left one and the right one. Why difference?

Math Mode: Y = 10^–x Math Mode: Y = – 10^–x

GC Mode: 10^–X GC Mode: – 10^–X

3. Using the review on Exponential Functions, predict the shape of this graph.

Note the difference between the left one and the right one. Why difference?

Math Mode: Y = e^X Math Mode: Y = – e^X

GC Mode: e^X GC Mode: – e^X

4. Using the review on Exponential Functions, predict the shape of this graph.

Note the difference between the left one and the right one. Why difference?

Math Mode: Y = e^–x Math Mode: Y = – e^–x

GC Mode: e^–X GC Mode: – e^–X

5. Using the review on Exponential Functions, predict the shape of this graph.

Note the difference between the left one and the right one. Why difference?

Math Mode: Y = 10^X+2 Math Mode: Y = – 10^X+2

GC Mode: 10^X+2 GC Mode: – 10^X+2

6. Using the review on Exponential Functions, predict the shape of this graph.

Note the difference between the left one and the right one. Why difference?

Math Mode: Y = 10^–x+3 Math Mode: Y = – 10^–x+3

GC Mode: 10^–X+3 GC Mode: – 10^–X+3

7. Using the review on Exponential Functions, predict the shape of this graph.

Note the difference between the left one and the right one. Why difference?

Math Mode: Y = e^X+1 Math Mode: Y = – e^X+1

GC Mode: e^X+1 GC Mode: – e^X+1

8. Using the review on Exponential Functions, predict the shape of this graph.

Note the difference between the left one and the right one. Why difference?

Math Mode: Y = e^–x+4 Math Mode: Y = – e^–x+4

GC Mode: e^–X+4 GC Mode: – e^–X+4

Click on one of the Online Calculators:  I like the first one but they are all great!

GCalc!  The equation box is at the top of the screen.

Oh yel, you have to press the Click to Start GCalc button.

Click the Reset Button (Top Right) and Yes to clear screen.

CoolMath Graphing Calculator   The equation box is at the top of the screen.

Click the Cls button at the bottom right of commands to clear screen.

GraphIt!   The equation box is at the bottom of the screen.

Oh yel, you have to press the  Plot It!  at bottom left of screen.

Also, click the check mark in front of grid before starting to show grid.

Also, typing in a new Linear Function automatically clears the screen.

Tom Love               Malone College          Fall 2003