Chapter 8 : Graphs of Functions [ Practice form 3 ]
1. In the figure shown, when x = 4, the value of y is
2. Diagram shows the graph of a function on a Cartesian plane.
The equation that represents the function is
3. Table below shows the values of variables x and y of a function
x –2 0 1
y –6 2 3
Which of the following functions is satisfied by the ordered pair?
A y = 7x + 2
B y = x3 + 2
C y = x + x2 – 2
D y = x2 + 2
4. Use graph paper to answer this question.
Table below shows the values of two variables, x and y, of a function.
x –3 –2 –1 0 1 2 3
y –19 –3 1 –1 –3 1 17
The x-axis and the y-axis are provided on the graph paper on the answer space.
(a) By using a scale of 2 cm to 5 units, complete and label the y-axis.
(b) Based on the table above, plot the points on the graph paper.
(c) Hence, draw the graph of the function.
answer :
5. Use graph paper to answer this question.
Table below shows the values of two variables, x and y, of a function.
x –4 –3 –2 –1 0 1 2
y 31 17 7 1 –1 1 7
The x-axis and the y-axis are provided on the graph paper on the answer space.
(a) By using a scale of 2 cm to 5 units, complete and label the y-axis.
(b) Based on the table above, plot the points on the graph paper.
(c) Hence, draw the graph of the function.
answer :
6. Use graph paper to answer this question.
Table below shows the values of two variables, x and y, of a function.
x –3 –2 –1 0 1 2 3
y 37 18 11 10 9 2 -17
The x-axis and the y-axis are provided on the graph paper on the answer space.
(a) By using a scale of 2 cm to 5 units, complete and label the y-axis.
(b) Based on the table above, plot the points on the graph paper.
(c) Hence, draw the graph of the function.
answer :
7. (a) Complete table below in the answer space for the equation L = x2 + 5x by writing the
value of L when x = 2.
x 0 1 2 3 4
y 0 6 24 36
(b) Use graph paper to answer this part of the question. You may use a flexible curve
rule. By using a scale of 2 cm to 1 unit on the x-axis and 2 cm to 5 units on the y-axis,
draw the graph of L = x2 + 5x for 0 ≤ x ≤ 4.
8. Use graph paper to answer this question.
Table below shows the values of two variables, x and y, of a function.
x –3 –2 –1 0 1 2 3
y -12 -3 2 4 2 -3 -12
The x-axis and the y-axis are provided on the graph paper on the answer space.
(a) By using a scale of 2 cm to 2 units, complete and label the y-axis.
(b) Based on the table above, plot the points on the graph paper.
(c) Hence, draw the graph of the function.
answer :
ANSWER
1.
T is the point on the graph where x = 4.
Hence, when x = 4, y = 5.
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2. Use points (0, 6) and (-3, 0) to determine the function.
Function Value of y when
x = 0 x = –3
y = x + 3 3 0
y = x – 3 –3 –6
y = 2x + 6 6 0 (correct)
y = 2x – 6 –6 –12
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3. Only y = x3 + 2 is satisfied by all the ordered pairs.
(i) –6 = (–2)3 + 2
(ii) 2 = 03 + 2
(iii) 3 = 13 + 2
Answer = B
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4. 5.
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6.
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(a) When x = 2
L = 22 + 5(2)
= 4 + 10
= 14
(b)
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8.
graph paper :
