Describing Graphs

#$&*

course Mth 163

01/17 1:20

If your solution to stated problem does not match the given solution, you should self-critique per instructions at

http://vhcc2.vhcc.edu/dsmith/geninfo/labrynth_created_fall_05/levl1_22/levl2_81/file3_259.htm

.

Your solution, attempt at solution. If you are unable to attempt a solution, give a phrase-by-phrase interpretation of the problem along with a statement of what you do or do not understand about it. This response should be given, based on the work you did in completing the assignment, before you look at the given solution.

002. Describing Graphs

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Question: `q001. You will frequently need to describe the graphs you have constructed in this course. This exercise is designed to get you used to some of the terminology we use to describe graphs. Please complete this exercise and email your work to the instructor. Note that you should do these graphs on paper without using a calculator. None of the arithmetic involved here should require a calculator, and you should not require the graphing capabilities of your calculator to answer these questions.

Problem 1. We make a table for y = 2x + 7 as follows: We construct two columns, and label the first column 'x' and the second 'y'. Put the numbers -3, -2, -1, -, 1, 2, 3 in the 'x' column. We substitute -3 into the expression and get y = 2(-3) + 7 = 1. We substitute -2 and get y = 2(-2) + 7 = 3. Substituting the remaining numbers we get y values 5, 7, 9, 11 and 13. These numbers go into the second column, each next to the x value from which it was obtained. We then graph these points on a set of x-y coordinate axes. Noting that these points lie on a straight line, we then construct the line through the points.

Now make a table for and graph the function y = 3x - 4.

Identify the intercepts of the graph, i.e., the points where the graph goes through the x and the y axes.

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

We make a table for y=3x-4. There are two columns, first is “X” and second colimn is “Y”. In the “x” column, we put in -3,-2,-1,0,1,2,3. We then substitute each number in the “x” column in the expression to solve for the corresponding “y” and put the result in the “y” column. For x=-3: y=3*-3-4 / y= -9-4 / y= -13, so -13 will go in the “y” column next to the -3 in the “x” column. We will do the same thing for all numbers in the “x” column, getting : -10,-7,-4,-1,2,5. With the completed table, we will use the table to graph the x and y coordinates. When you graph the points from this table and construct a line through the points, you get a straight line. Graphed with the first problem: y=2x+7, you find that the 2 lines run parallel to each other and do not intersect.

"

Self-critique (if necessary):

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Self-critique rating:

Describing Graphs

#$&*

course Mth 163

01/17 1:20

If your solution to stated problem does not match the given solution, you should self-critique per instructions at

http://vhcc2.vhcc.edu/dsmith/geninfo/labrynth_created_fall_05/levl1_22/levl2_81/file3_259.htm

.

Your solution, attempt at solution. If you are unable to attempt a solution, give a phrase-by-phrase interpretation of the problem along with a statement of what you do or do not understand about it. This response should be given, based on the work you did in completing the assignment, before you look at the given solution.

002. Describing Graphs

*********************************************

Question: `q001. You will frequently need to describe the graphs you have constructed in this course. This exercise is designed to get you used to some of the terminology we use to describe graphs. Please complete this exercise and email your work to the instructor. Note that you should do these graphs on paper without using a calculator. None of the arithmetic involved here should require a calculator, and you should not require the graphing capabilities of your calculator to answer these questions.

Problem 1. We make a table for y = 2x + 7 as follows: We construct two columns, and label the first column 'x' and the second 'y'. Put the numbers -3, -2, -1, -, 1, 2, 3 in the 'x' column. We substitute -3 into the expression and get y = 2(-3) + 7 = 1. We substitute -2 and get y = 2(-2) + 7 = 3. Substituting the remaining numbers we get y values 5, 7, 9, 11 and 13. These numbers go into the second column, each next to the x value from which it was obtained. We then graph these points on a set of x-y coordinate axes. Noting that these points lie on a straight line, we then construct the line through the points.

Now make a table for and graph the function y = 3x - 4.

Identify the intercepts of the graph, i.e., the points where the graph goes through the x and the y axes.

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution:

We make a table for y=3x-4. There are two columns, first is “X” and second colimn is “Y”. In the “x” column, we put in -3,-2,-1,0,1,2,3. We then substitute each number in the “x” column in the expression to solve for the corresponding “y” and put the result in the “y” column. For x=-3: y=3*-3-4 / y= -9-4 / y= -13, so -13 will go in the “y” column next to the -3 in the “x” column. We will do the same thing for all numbers in the “x” column, getting : -10,-7,-4,-1,2,5. With the completed table, we will use the table to graph the x and y coordinates. When you graph the points from this table and construct a line through the points, you get a straight line. Graphed with the first problem: y=2x+7, you find that the 2 lines run parallel to each other and do not intersect.

"

Self-critique (if necessary):

------------------------------------------------

Self-critique rating:

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