course Phy 202 I completed assignment 2 over the period of two days, but both parts of the assigment are given below. I typed in all caps where the date changes for this assignment. PROBLEMS 1-5 COMPLETED ON 5/31/07 IN A DIFFERENT SEND FILE FROM PROBLEMS 6-8 WHICH ARE ALSO BELOW..................................................
......!!!!!!!!...................................
19:59:51 `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.
......!!!!!!!!...................................
RESPONSE --> x intercept=.5 y intercept=-4 confidence assessment: 2
.................................................
......!!!!!!!!...................................
20:34:24 `q002. Does the steepness of the graph in the preceding exercise (of the function y = 3x - 4) change? If so describe how it changes.
......!!!!!!!!...................................
RESPONSE --> I am honestly not sure...but I think that the steepness does not change. y=mx+b is the slope/steepness equation and the rise/run is 3/1. confidence assessment: 2
.................................................
......!!!!!!!!...................................
20:43:18 `q003. What is the slope of the graph of the preceding two exercises (the function ia y = 3x - 4;slope is rise / run between two points of the graph)?
......!!!!!!!!...................................
RESPONSE --> the rise is 3 and the run is 1, so the slope is 3/1. confidence assessment: 3
.................................................
......!!!!!!!!...................................
21:52:02 `q004. Make a table of y vs. x for y = x^2. Graph y = x^2 between x = 0 and x = 3. Would you say that the graph is increasing or decreasing? Does the steepness of the graph change and if so, how? Would you say that the graph is increasing at an increasing rate, increasing at a constant rate, increasing at a decreasing rate, decreasing at an decreasing rate, decreasing at a constant rate, or decreasing at a decreasing rate?
......!!!!!!!!...................................
RESPONSE --> A graph between x=0 and x=3 is half of a parabola. I would say that this graph is increasing b/c as x increases y increases. Yes the steepness of the graph does change...it gets steeper as it increases; the run (x) remains the same while the rise (y) increases. I would say that the graph is increasing at an increasing rate. confidence assessment: 2
.................................................
......!!!!!!!!...................................
22:47:11 `q005. Make a table of y vs. x for y = x^2. Graph y = x^2 between x = -3 and x = 0. Would you say that the graph is increasing or decreasing? Does the steepness of the graph change and if so, how? Would you say that the graph is increasing at an increasing rate, increasing at a constant rate, increasing at a decreasing rate, decreasing at an decreasing rate, decreasing at a constant rate, or decreasing at a decreasing rate?
......!!!!!!!!...................................
RESPONSE --> I would say that the graph is decreasing and the steepness of the graph does change; the steepness decreases as x moves one increment to the right. I would say that the graph is decreasing at a decreasing rate. confidence assessment: 3
.................................................
PROBLEMS 6-8 COMPLETED ON 6/1/07 IN A NEW SEND FILE WHICH IS BELOW...I DELETED THE INFORMATION FROM PROBLEMS 1-5, B/C THERE ARE NO ANSWERS FOR THEM IN THIS FILE ˦bǠy]鳋 assignment #002 002. Describing Graphs qa initial problems 06-01-2007
......!!!!!!!!...................................
11:09:40 `q006. Make a table of y vs. x for y = `sqrt(x). [note: `sqrt(x) means 'the square root of x']. Graph y = `sqrt(x) between x = 0 and x = 3. Would you say that the graph is increasing or decreasing? Does the steepness of the graph change and if so, how? Would you say that the graph is increasing at an increasing rate, increasing at a constant rate, increasing at a decreasing rate, decreasing at an decreasing rate, decreasing at a constant rate, or decreasing at a decreasing rate?
......!!!!!!!!...................................
RESPONSE --> The points for this graph are (0,0), (1,1), (2,1.41) and (3,1.73) with the y-values being 0, 1, 1.41, and 1.73. I would say that the graph is increasing and that the steepness of the graph does change...for every one unit the x-value moves to the right, the y-value increases, but at a decreasing rate, and therefore, I would say that this graph is increasing at a decreasing rate. confidence assessment: 3
.................................................
......!!!!!!!!...................................
13:41:37 `q007. Make a table of y vs. x for y = 5 * 2^(-x). Graph y = 5 * 2^(-x) between x = 0 and x = 3. Would you say that the graph is increasing or decreasing? Does the steepness of the graph change and if so, how? Would you say that the graph is increasing at an increasing rate, increasing at a constant rate, increasing at a decreasing rate, decreasing at an decreasing rate, decreasing at a constant rate, or decreasing at a decreasing rate?
......!!!!!!!!...................................
RESPONSE --> I would say that the graph is decreasing and that the steepness of the graph is decreasing for every unit of x to the right. I would say that the graph is decreasing at a decreasing rate. confidence assessment: 2
.................................................
......!!!!!!!!...................................
13:50:31 `q008. Suppose you stand still in front of a driveway. A car starts out next to you and moves away from you, traveling faster and faster. If y represents the distance from you to the car and t represents the time in seconds since the car started out, would a graph of y vs. t be increasing or decreasing? Would you say that the graph is increasing at an increasing rate, increasing at a constant rate, increasing at a decreasing rate, decreasing at an decreasing rate, decreasing at a constant rate, or decreasing at a decreasing rate?
......!!!!!!!!...................................
RESPONSE --> The graph of y v. t would be increasing b/c the speed is getting faster the further the car moves away from me. The graph would be increasing at an increasing rate b/c the as the car gets futher from me, it increases in speed. confidence assessment: 2
................................................."