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Function Worksheets - Page 11

Function Worksheets
  • Page 11
 101.  
What is the value of the function f(9), if f(x) = 3x + 5?
a.
10
b.
32
c.
54
d.
22


Solution:

f(x) = 3x + 5
[Original equation.]

f(9) = 3(9) + 5
[Substitute 9 for x.]

= 32
[Simplify.]


Correct answer : (2)
 102.  
Choose the equation that satisfies the input - output table.
Input(x)012345
Output(y)505458626670
a.
y = 50 - 5x
b.
y = 50 + 4x
c.
y = 50 + 6x
d.
y = 50 - 7x


Solution:

y = 50 - 5x
[Consider choice A.]

y = 50 - 5(0) = 50
[Substitute 0 for x.]

y = 50 - 5(1) = 45
[Substitute 1 for x.]

In the table for x = 1, y = 54. So, first equation is ruled out.

y = 50 + 4x
[Consider choice B.]

y = 50 + 4(0) = 50
[Substitute 0 for x.]

y = 50 + 4(1) = 54
[Substitute1 for x.]

y = 50 + 4(2) = 58
[Substitute 2 for x.]

y = 50 + 4(3) = 62
[Substitute 3 for x.]

y = 50 + 4(4) = 66
[Substitute 4 for x.]

y = 50 + 4(5) = 70
[Substitute 5 for x.]

The equation y = 50 + 4x satisfies the table.


Correct answer : (2)
 103.  
The table represents the relationship between x and y.
x- 1123
y5789

Which of these equations best represents the relationship?
a.
y = x + 6
b.
y = 2x + 4
c.
y = - x - 5
d.
y = 3x + 3


Answer: (a)


Correct answer : (1)
 104.  
Identify an equation that represents the rule for the pattern shown in the table.
x3579
y18202224

a.
y = 3x + 1
b.
y = 6x
c.
y = 4x
d.
y = x + 15


Answer: (d)


Correct answer : (4)
 105.  
Which of the equations best represents the rule for the table?
x1234
y8162432

a.
y = 8x
b.
y = 3x + 7
c.
y = x + 7
d.
y = 8x + 5


Answer: (a)


Correct answer : (1)
 106.  
Rebecca is staying as a paying guest in her aunt's house. Her aunt charges her $20 per month as rent and $15 per day for food. The total cost c = 20 + 15n, n represents the number of days she had her food in her aunt's house. Which of the tables best suits the equation?


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


Solution:

c = 20 + 15n
[Original equation.]

c = 20 + 15(0)
[Replace n with 0.]

= 20
[Simplify.]

c = 20 + 15(1)
[Replace n with 1.]

= 35
[Simplify.]

c = 20 + 15(2)
[Replace n with 2.]

c = 50
[Simplify.]

c = 20 + 15(3)
[Replace n with 3.]

c = 65
[Simplify.]

c = 20 + 15(4)
[Replace n with 4.]

= 80
[Simplify.]

c = 20 + 15(5)
[Replace n with 5.]

= 95
[Simplify.]

The input and output values of table-1 matches with the results of the equation.

Table-1 satisfies the equation.


Correct answer : (4)
 107.  
Which of the tables represents the equation y = 3(4x + 12) for x = 0, 1, 2, 3, 4, 5?


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


Solution:

y = 3(4x + 12)
[Original equation.]

y = 3[4(0) +12] = 36
[Replace x with 0.]

y = 3[4(1) + 12] = 48
[Replace x with 1.]

y = 3[4(2) +12] = 60
[Replace x with 2.]

y = 3[4(3) +12] = 72
[Replace x with 3.]

y = 3[4(4) + 12] = 84
[Replace x with 4.]

y = 3[4(5) +12] = 96
[Replace x with 5.]

For the values of x, the corresponding values of y are 36, 48, 60, 72, 84 and 96.

So, Table 4 best suits the equation y = 3(4x + 12).


Correct answer : (2)
 108.  
Which equation satisfies the input-output table?
Input(x)012345
Output(y)30252015105
a.
y = 30 - 6x
b.
y = 30 - 5x
c.
y = 30 - 7x
d.
y = 30 - 8x


Solution:

y = 30 - 6x
[Consider choice A.]

y = 30 - 6(0) = 30
[Replace x with 0.]

y = 30 - 6(1) = 24
[Replace x with 1.]

In the table for x = 1, y = 25. So first equation is ruled out.

y = 30 - 5x
[Consider choice B.]

y = 30 - 5(0) = 30
[Replace x with 0.]

y = 30 - 5(1) = 25
[Replace x with 1.]

y = 30 - 5(2) = 20
[Replace x with 2.]

y = 30 - 5(3) = 15
[Replace x with 3.]

y = 30 - 5(4) = 10
[Replace x with 4.]

y = 30 - 5(5) = 5
[Replace x with 5.]

The equation y = 30 - 5x satisfies the table.


Correct answer : (2)
 109.  
A function y = 8x represents a line passing through the origin. If x ≥ 0 and x ≤ 5, then which table shows the relation between input and output for the function?

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


Solution:

As, x ≥ 0 and x ≤ 5, x takes the values between 0 and 5 including 0 and 5.

y = 8x
[Original equation.]

y = 8(0) = 0
[Replace x with 0.]

y = 8(1) = 8
[Replace x with 1.]

y = 8(2) = 16
[Replace x with 2.]

y = 8(3) = 24
[Replace x with 3.]

y = 8(4) = 32
[Replace x with 4.]

y = 8(5) = 40
[Replace x with 5.]

The values of y for the corresponding values of x are 0, 8, 16, 24, 32, and 40.

Table 1 satisfies the equation.


Correct answer : (1)
 110.  
Which of the graphs best suits the equation f(x) = 2x - 1?


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


Solution:

f(x) = 2x - 1
[Original equation.]

f(0) = 2(0) - 1
[Replace x with 0.]

f(0) = - 1
[Simplify.]

f(1) = 2(1) - 1
[Replace x with 1.]

f(1) = 1
[Simplify.]

f(2) = 2(2) - 1
[Replace x with 2.]

f(2) = 3
[Simplify.]

Among the choices, graph 3 suits the equation.


Correct answer : (3)

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