5.1+Graphing+on+a+Calculator+0910

=Naasik Syed= =Math 7B= =10-3-09=

Sets

 * Set 1: Y=3X-4, Y=X**², **Y=3X+2**

Set 3: Y=2X+3, ​** **Y=2X-5, Y=0.5+2 Set 4:Y=2X, Y=2÷X, Y=X+5**
 * Set 2: Y=5, Y=3X, Y=1X

**A1. Which two equations in the set are have graphs that are similar?**
In set 1,the equations Y=3X+2 and Y=3X-4 are similar. In set 2, Y=1X and Y=3X are similar. In set 3, Y=2X+3 and Y=2X-5, and in set 4, Y=X+5 and Y=2X.  In set 1, the two graphs are similar because they are both straight parallel lines. In set 2, Y=1X and Y=3X, they both have positive slopes. In set 3, the graphs are straight, positively sloped and parallel lines. In set 4 they are straight and positively sloped lines.
 * A2. In what ways are the two graphs similar?**

In set 1, both equations have 3X in them. In set 2, the equations both have Y=X. In set 3, both have Y=2X, and in set 4, Y=2X and Y=2÷X are similar because they both have Y=2.
 * A3. In what ways are the equations for the two graphs similar?**

In set 1, the graph for Y=X² is different. In set 2, Y=5 is different. In set 3, Y=0.5X+2, and in set 4, Y=2÷X is different.
 * B1. Which equation in the set has a graph that is different from the other graphs?**

In set 1, Y=X² is different because it has a curved graph. In set 2, Y=5 is horizontal and is also constant. In set 3, Y=0.5X-2 is different because it is a very flat positive slope. In set 4, Y=2÷X is different because it is a pair of symmetrical curves in quadrant 1 and 3. As the -Y becomes very large (in quadrant 3) the -X becomes closer to 0. If +Y becomes very large (in quadrant 1), then +X becomes closer to 0. the same thing happens with Y values when +X or -X become very large.
 * B2. In what way is the graph different from the other graphs?**

In set 1, Y=X² is the only equation with the ² sign. In set 2, Y=5 is the only equation without an X. In set 3, Y=0.5X+2 does'nt have a 2X, and in set 4, Y=X+5 does'nt have a 2.
 * B3. In what way is the equation different from the other equations?**

Use the equation Y=2X to answer the following:
 * __Follow up__

1A.** If X=2, Y=4


 * 1B.** If X = 2/3, then Y=1 and 1/3

then Y=6.5
 * 1C.** If X= 3.25,


 * 1D. Table showing pairs of numbers fitting equation Y=2X**
 * Y || 0 || 2 || 4 || 6 || 8 || 10 || 12 ||
 * X || 0 || 1 || 2 || 3 || 4 || 5 || 6 ||


 * 2. Table showing pairs of numbers fitting equation Y=2X+ 3**
 * Y || 3 || 5 || 7 || 9 || 11 || 13 || 15 ||
 * X || 0 || 1 || 2 || 3 || 4 || 5 || 6 ||

The tables for problems 1D and 2 are similar because they are both basicaly the same thing, except for the fact that the table for problem 2, Y is always 3 higher than the Y in table for problem 1D for a given value of X.
 * 3. How are the two tables above similar?**