Psychology Coursework - 1925 Words

Psychology Coursework (Coursework Sample) Content: NAME:ID:COURSE:LECTURERà ¢Ã¢â€š ¬S NAMETABLE OF CONTENTS:PART ONEPAGE 3-4PART TWOPAGE 4-6PART THREEPAGE 6-7PART ONEConsider a function y=x taking a range of 2à ¢xà ¢Ã‚ ¥8X 2 3 4 5 6 7 8 y 2 3 4 5 6 7 8 2714625180975Y=x00Y=x1276350125730y- axis00y- axisFrom the graph, x-intercept=0 and y-intercept=032194501114425x- axis00x- axis5 a) Consider a function y=x+2 for 1à ¢xà ¢6X 1 2 3 4 5 6 y 3 4 5 6 7 8 The x-intercept=-2 and y-intercept=237528504914900The f1(x) is a straight line graph passing through the origin (0, 0). Therefore the x- and y-intercepts are 0 and 0. On the other hand, f2(x) is a straight line graph whose x-intercept=-2 and y-intercept=2.400000The f1(x) is a straight line graph passing through the origin (0, 0). Therefore the x- and y-intercepts are 0 and 0. On the other hand, f2(x) is a straight line graph whose x-intercept=-2 and y-intercept=2.9525001642110y-axis00y-axis2114550-3810Y=x+200Y=x+22362200901065x-axis0x-axisb) Consider a function y=2x fo r 2à ¢xà ¢8, the table will appear as follows:X 2 3 4 5 6 7 y 4 6 8 10 12 14 3428365-38100The f1 (x) graph is a straight line graph which passes at the origin(0,0) at an angle of 45 while f2x graph is a straight line graph that makes an angle less than 45 with the y axis.00The f1 (x) graph is a straight line graph which passes at the origin(0,0) at an angle of 45 while f2x graph is a straight line graph that makes an angle less than 45 with the y axis.1704975-95250Y=2x00Y=2x1009650-95250x-axis00x-axis2324100828674x-axis00x-axisPART 2Consider a function y=x2 for -3à ¢xà ¢2, the table plotted will appear as follows:X -3 -2 -1 0 1 2 Y 9 4 1 0 1 4 1352550160020y-axis00y-axis37852354159885The x- and y-intercepts are 0 and 0. The coordinates of the vertex is (0, 0).400000The x- and y-intercepts are 0 and 0. The coordinates of the vertex is (0, 0).1857375-1270Y=x200Y=x22838450970280x-axis00x-axisConsider the function y=x2+2 for -3à ¢Ã‚ ¥xà ¢2, the table would appe ar as follows:x -3 -2 -1 0 1 2 y 11 6 3 2 3 6 The graph of g2(x) =x2+k, is a curve whose vertex cuts the y-axis at point (0, 2) giving the x-intercept=0 and the y-intercept=2. The coordinates of the vertex is (0, 2).11906252000250y-axis00y-axis29241751009650x-axis00x-axis(b) Consider a function y=(x+2)2 when expanded gives y=x2+2x+4. If we plot a graph of y against assuming the range to be-3à ¢Ã‚ ¥xà ¢2 we obtain a table as follows:x -3 -2 -1 0 1 2 y 9 4 3 4 7 12 1524000139701Y=x2+2x+400Y=x2+2x+49239251797685Y a...