Function Worksheets

**Page 7**

61.

Find the range for the function.

$f$($x$) = $x$ + 2 if $x$ < 0

= $x$ - 2 if $x$ > 0

$f$($x$) = $x$ + 2 if $x$ < 0

= $x$ - 2 if $x$ > 0

a. | all negative integers | ||

b. | all positive integers | ||

c. | all real numbers | ||

d. | all natural numbers |

Correct answer : (3)

62.

Find the domain for the values shown in the table.

$x$ | $y$ |

- 3 | 9 |

- 2 | 4 |

- 1 | 1 |

0 | 0 |

1 | 1 |

a. | {- 3, - 2,- 1, 0, 1} | ||

b. | {0, 1, 9, 4} | ||

c. | all real numbers | ||

d. | all integers |

Correct answer : (1)

63.

Which of the following tables represents a function?

a. | Table 3 | ||

b. | Table 1 | ||

c. | Table 2 | ||

d. | Table 4 |

Correct answer : (2)

64.

Which of the following represents a function?

a. | Figure 2 | ||

b. | Figure 3 | ||

c. | Figure 4 | ||

d. | Figure 1 |

Correct answer : (2)

65.

Which of the following is **not** a function?

a. | {(1, 2), (2, 1), (3, 2), (1, 1)} | ||

b. | {(1, 1), (2, 2), (3, 1), (4, 3)} | ||

c. | {(4, 1), (3, 2), (1, 3), (2, 4)} | ||

d. | {(5, 1), (4, 2), (3, 3), (2, 2)} |

Correct answer : (1)

66.

The amount spent by Chris on a birthday party is a function of number of his friends whom he invited. Which of the following is a dependent variable?

a. | Chris′s age | ||

b. | number of members in Chris′s family | ||

c. | number of friends Chris invited | ||

d. | amount spent by Chris on the party |

From the given function, independent variable is the number of friends and the dependent variable is amount Chris spent.

Among the choices, "amount spent by Chris on the party" is dependent variable.

Correct answer : (4)

67.

Find the range of $f$($x$) = 7$x$ + 2, if the domain is 2.

a. | 16 | ||

b. | - 16 | ||

c. | -17 | ||

d. | 14 |

[Given function.]

The range of the function can be determined by substituting the values in the domain of the function.

[Substitute 2 for

Therefore, the range of the function is 16.

Correct answer : (1)

68.

Determine whether the relation is a function. Find its domain and range, if it is a function.

a. | It is a function; domain is 3, 5, 7, 9, 11 and range is 1, 2, 3, 4. | ||

b. | It is a function; domain is 0 and range is 3. | ||

c. | It is a function; domain is 0, 1, 2, 3, 4 and range is 3, 5, 7, 9, 11. | ||

d. | It is not a function. |

So, the relation is a function.

The domain of the function is 0, 1, 2, 3, 4.

[The collection of all input values is the domain.]

The range of the function is 3, 5, 7, 9, 11.

[The collection of all output values is the range.]

Correct answer : (3)

69.

Find the range of the set.

{(- 3, 6), (4, 2), (7, 25), (8, 28)}

a. | {- 3, 4, 7, 8} | ||

b. | {- 3, 6, 4, 2, 7, 25, 8} | ||

c. | {4, 2, 7, 8} | ||

d. | {2, 6, 25, 28} |

The second coordinates are 6, 2, 25 and 28.

So, the range of the given set is {2, 6, 25, 28}.

Correct answer : (4)

70.

Write the domain and range of the relation shown in the table.

a. | Domain is {- 2, - 4, 6, 8, 9}, Range is {- 3, 4, 5, - 7, 4} | ||

b. | Domain is {- 3, 4, 5, - 7, 4}, Range is {- 2, - 4, 6, 8, 9} | ||

c. | Domain is {- 2, - 4}, Range is {- 3, - 7} | ||

d. | Domain is {6, 8, 9}, Range is {- 3, - 7} |

The first coordinates are - 2, - 4, 6, 8 and 9.

So, the domain of the given relation is {- 2, - 4, 6, 8, 9}.

The set of second coordinates of all the ordered pairs of a relation is known as the range.

The second coordinates are - 3, 4, 5, - 7 and 4.

So, the range of the given relation is {- 3, 4, 5, - 7, 4}.

Correct answer : (1)