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Graph Linear Functions Worksheet - Page 5

Graph Linear Functions Worksheet
  • Page 5
 41.  
Identify the equation that represents the table.
x691215
y4567
a.
y = 3x - 1
b.
y = 3(x + 1)
c.
y = x + 2
d.
y = x 3 + 2


Solution:

On observing the table it is found that 4 = 6 / 3 + 2, 5 = 9 / 3 + 2, 6 = 12 / 3 + 2, 7 = 15 / 3 + 2.

So, the equation that represents the table is y = x / 3 + 2.


Correct answer : (4)
 42.  
Identify the graph that suits the table.
x- 1- 2- 3- 4
y3210



a.
Graph 2
b.
Graph 1
c.
Graph 3
d.
Graph 4


Solution:


Plot the graph by taking x, y values given in the table.

The graph matches with Graph 2.

So, among the given graphs, Graph 2 suits the table.


Correct answer : (1)
 43.  
Which graph suits the table?
x- 2- 1012
y- 2- 1012


a.
Graph 3
b.
Graph 2
c.
Graph 4
d.
Graph 1


Solution:


Plot the graph by taking x, y values given in the table.

The graph matches with Graph 1.

Among the graphs, Graph 1 best suits the table.


Correct answer : (4)
 44.  
Which graph best suits the equation y = 2x?

a.
Graph 4
b.
Graph 2
c.
Graph 1
d.
Graph 3


Solution:

y = 2x
[Original equation.]

y = 2(- 2) = - 4
[Sustitute - 2 for x.]

y = 2(- 1) = - 2
[Sustitute - 1 for x.]

y = 2(0) = 0
[Sustitute 0 for x.]

y = 2(1) = 2
[Sustitute 1 for x.]

y = 2(2) = 4
[Sustitute 2 for x.]


Plot the graph for the above values of x and y.

Among the graphs, Graph 2 suits the equation.


Correct answer : (2)
 45.  
Identify the table that suits the graph.


a.
Table 3
b.
Table 2
c.
Table 1
d.
Table 4


Solution:

From the graph,
Value of y for x = - 2 is - 1.5
Value of y for x = - 1 is - 0.5
Value of y for x = 0 is 0.5
Value of y for x = 1 is 1.5
Value of y for x = 2 is 2.5


Table 4 matches with the values.

So, the table that suits the graph is Table 4.


Correct answer : (4)
 46.  
Which of the tables represents the graph?

a.
Table 3
b.
Table 4
c.
Table 2
d.
Table 1


Solution:

From the graph,
Value of y for x = 0 is 12
Value of y for x = 1 is 8
Value of y for x = 2 is 4
Value of y for x = 3 is 0.

Table 2 matches with the values.

So, the table that suits the graph is Table 2.


Correct answer : (3)
 47.  
Identify the table that suits the graph.

a.
Table 1
b.
Table 4
c.
Table 3
d.
Table 2


Solution:

From the graph,
Value of y for x = - 3 is 2
Value of y for x = - 1 is 4
Value of y for x = 0 is 5
Value of y for x = 1 is 6
Value of y for x = 3 is 8.

Table 3 matches with the values.

So, the table that suits the graph is Table 3.


Correct answer : (3)
 48.  
Which of the tables represents the graph?

a.
Table 1
b.
Table 3
c.
Table 2
d.
Table 4


Solution:

From the graph,
Value of y for x = - 10 is - 10
Value of y for x = - 6 is - 6
Value of y for x = - 2 is - 2
Value of y for x = 2 is 2
Value of y for x = 6 is 6.

Table 4 matches with the values.

So, the table that suits the graph is Table 4.


Correct answer : (4)
 49.  
Identify the table that suits the graph.

a.
Table 4
b.
Table 2
c.
Table 3
d.
Table 1


Solution:

From the graph,
Value of y for x = 2 is 4
Value of y for x = 4 is 2
Value of y for x = 5 is 1
Value of y for x = 6 is 0.

Table 2 matches with the values.

So, the table that suits the graph is Table 2.


Correct answer : (2)
 50.  
Identify the graph that suits the table.
x- 2- 1012
y210- 1- 2



a.
Graph 4
b.
Graph 3
c.
Graph 2
d.
Graph 1


Solution:


Plot the graph by taking x and y values given in the table.

The graph matches with Graph 1.

So, among the graphs, Graph 1 suits the table.


Correct answer : (4)

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