Psychology Coursework (Coursework Sample)

NAME:
ID:
COURSE:
LECTURER’S NAME
TABLE OF CONTENTS:
PART ONEPAGE 3-4
PART TWOPAGE 4-6
PART THREEPAGE 6-7
PART ONE
Consider a function y=x taking a range of 2≤x≥8
X

2

3

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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=0
32194501114425x- axis00x- axis
5 a) Consider a function y=x+2 for 1≤x≤6
X

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6

y

3

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8

The x-intercept=-2 and y-intercept=2
37528504914900The 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-axis
b) Consider a function y=2x for 2≤x≤8, the table will appear as follows:
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7

y

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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-axis
PART 2
Consider a function y=x2 for -3≤x≤2, the table plotted will appear as follows:
X

-3

-2

-1

0

1

2

Y

9

4

1

0

1

4

1352550160020y-axis00y-axis
37852354159885The 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-axis
Consider the function y=x2+2 for -3≥x≤2, the table would appear 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-3≥x≤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+4
9239251797685Y a...