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Function Worksheet - Page 9

Function Worksheet
  • Page 9
 81.  
Which of the following function rules satisfies the graph?


a.
Output = Input 2
b.
Output = Input + 2
c.
Out put = 2 × Input
d.
Output = Input


Solution:

A function is an entity, which gives the relationship between output and input.


From the graph, make a table of input and output values.

As the output is half of the input, we can write output = input / 2.

So, the function rule that satisfies the graph is output = input / 2.


Correct answer : (1)
 82.  
Which of the following function rules satisfies the graph?

a.
Output = input 2
b.
Output = Input + 2
c.
Output = Input - 2
d.
Output = Input2 /2


Solution:

A function is an entity, which gives the relationship between output and input.


From the graph, make a table of input and output values.

As the output is half of the square of the input, we can write output = input2 /2.

So, the function rule that satisfies the graph is output = input2 /2.


Correct answer : (4)
 83.  
The graph shows the relationship between distance and time for a truck driven at a constant speed. Make a table for the function and write a rule to represent the function.

a.
Distance = 15 + time
b.
Distance = 15 × Time
c.
Distance = 5 × Time
d.
Distance = Time - 5


Solution:

A function is an entity, which gives the relationship between output(Distance) and input(Time).


From the graph, make a table of input and output values.

As the Distance traveled is 15 times the time taken, we can write Distance = 15 × time.

So, the function rule that represents the graph is distance = 15 × time.


Correct answer : (2)
 84.  
Which of the following rules describes the input - output relationship from the table?
InputOutput
28
312
416
520
624
a.
Output = Input
b.
Output = Input × 4
c.
Output = Input + 4
d.
Output = Input 4


Solution:

On observing the table, it is found that the output 8 = 4 × 2, 12 = 4 × 3, 16 = 4 × 4, 20 = 4 × 5 and 24 = 4 × 6.

So, we can write the relationship between input and output as a rule, Output = 4 × input.


Correct answer : (2)
 85.  
Which of the following rules describes the input - output relationship from the table?
InputOutput
205
246
287
328
369
a.
Output = Input × 4
b.
Output = Input + 4
c.
Output = Input 4
d.
None of the above


Solution:

On observing the table it is found that the output 5 = 20 / 4, 6 = 24 / 4, 7 = 28 / 4, 8 = 32 / 4 and 9 = 36 / 4.

So, we can write the relationship between input and output as a rule, Output = Input / 4.


Correct answer : (3)
 86.  
Which of the following rules describes the input - output relationship from the table?
InputOutput
44
55
66
77
88
a.
Output = Input - 1
b.
Output = Input
c.
Output = Input 2
d.
Output = Input + 1


Solution:

On observing the table it is found that the output 4 = 4, 5 = 5, 6 = 6, 7 = 7 and 8 = 8.

So, we can write the relationship between input and output as a rule, Output = input.


Correct answer : (2)

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