The line (ray) drawn above represents a real number line. The line is drawn to scale which means that hte distance from 0 to 1 is the same distance between any two consecutive elements of the line.

Draw the number line represented above or print this one out to use in the next phases of this activity.

X is a number located somewhere after 1 but it is NOT equal to 2.

Question: Using the information given here, Place "2" on the number line. Is it before or after the "X"?

Question: Using the same information and the placement of "2" where are

2*x

x^2

2^x

Located on the number line?

Question: Where are they located relative to one another?

Question: How can you tell?

Question: What methods and assumptions did you use to make your decisions?

Question: Can you prove that your decisions are correct?

Hint: Try numerical calculations using the calculator below and make a table for yourself or...View a graphical representation of the requested calculations.