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Graphing of exponential functions

I have the graphs, I just have questions. I don't understand how these graphs were formed. Please explain how this is done. Where do the lines intersect? Aren't there coordinates?

1. f(x)=6x
2. f(x)=3x - 2
3. f(x)=(1/2)x
4. f(x)= log2x.

See the attached file.


Solution Preview

Following is the text part of the solution. Please see the attached file for complete solution. Equations, diagrams, graphs and special characters will not appear correctly here.

1. f(x)=6x

( I will give a detailed explanation for the first problem. This will help you understand the other two as well. I will give shorter explanations to the other two problems. Highlighted phrase is important to understand)
You only need the general shape of the graph. So you will analyze the given function at extreme values of x to get the general appearance ...

Solution Summary

How to plot graphs without using a graphing utility? That is the question that is answered in this problem set. Several examples involving exponential functions and logarithmic functions are used to show how one can analyze the functions to draw their graphs without using a graphing utility. Understanding how to plot/sketch graphs is very important in the field of mathematics and other sciences and this solution will give you a head start on learning that.