Function Worksheets

**Page 10**

91.

The function $f$($x$) = 64$x$ describes the distance traveled by a car in miles and $x$ represents the time taken by the car. What is the distance traveled by the car in 3 hours?

a. | 196 | ||

b. | 194 | ||

c. | 200 | ||

d. | 192 |

[Original equation.]

[Substitute 3 for

= 192

[Simplify.]

The distance traveled by the car in 3 hours is 192 miles.

Correct answer : (4)

92.

What is the value of the function $f$(3), if $f$($x$) = 3$x$ + 9?

a. | 23 | ||

b. | 24 | ||

c. | 18 | ||

d. | 26 |

[Original equation.]

[Substitute 3 for

= 18

[Simplify.]

Correct answer : (3)

93.

What is the value of the function $f$(6), if $f$($x$) = 5$x$ - 2?

a. | 30 | ||

b. | 28 | ||

c. | 32 | ||

d. | 29 |

[Original equation.]

[Substitute 6 for

= 28

[Simplify.]

Correct answer : (2)

94.

Kelsey bought apples at $2 each. Write a function to represent the relation between the number of apples she bought $a$, and the total cost, $f$($a$).

a. | $f$($a$) =$a$/2 | ||

b. | $f$($a$) = 2/$a$ | ||

c. | $f$($a$) = 2$a$ | ||

d. | None of the above |

[Substitute the values.]

[Simplify.]

The function that represents a relation between the number of apples and the total cost is

Correct answer : (3)

95.

What are the values of $f$(-4), $f$(2) and $f$(3.2), if $f$($x$) = 9$x$^{2} - 2?

a. | 142, 34, 90.16 | ||

b. | 147, 39, 95.16 | ||

c. | 152, 44, 100.16 | ||

d. | 146, 38, 94.16 |

[Original equation.]

= 142

[Substitute -4 for

= 34

[Substitute 2 for

= 90.16

[Substitute 3.2 for

Correct answer : (1)

96.

Evaluate $f$($x$) = 14 - 2$x$, for $x$ = 1, 2, 3, 4 , and find the common difference for the output.

a. | 1 | ||

b. | 3 | ||

c. | 2 | ||

d. | None of the above |

[Original equation.]

[Substitute 1 for

= 12

[Simplify.]

[Substitute 2 for

= 10

[Simplify.]

[Substitute 3 for

= 8

[Simplify.]

[Substitute 4 for

= 6

[Simplify.]

The relation between the input and the output is as input is increased by 1 output is decreased by 2.

So, the common difference is 2.

Correct answer : (3)

97.

Laura had $7 with her. She sold $n$ cards at $3 each and earned some money. Identify an equation for the money she had with her finally.

a. | $f$($n$) = 7 - $n$ | ||

b. | f($n$) = 7$n$ | ||

c. | f($n$) = 3$n$ + 7 | ||

d. | $f$($n$) = 3$n$ - 7 |

The money earned by selling

Let

So, the equation for the total money she had finally is

Correct answer : (3)

98.

Find the value of $f$(1), $f$(2), $f$(3) and $f$(4), if f($x$) = 4 × 0.1^{$x$}.

a. | 4, 0.4, 0.04, and 0.004 | ||

b. | 0.4, 0.004, 0.004, and 0.0004 | ||

c. | 4, 0.04, 0.004, and 0.0004 | ||

d. | 0.4, 0.04, 0.004, and 0.0004 |

[Original equation.]

[Substitute 1 for

= 0.4

[Simplify.]

[Substitute 2 in place of

= 0.04

[Simplify.]

[Substitute 3 in place of

= 0.004

[Simplify.]

[Substitute 4 in place of

= 0.0004

[Simplify.]

The values of

Correct answer : (4)

99.

What are the values of $f$(- 4) and $f$(4), if $f$($x$) = $x$^{2}?

a. | 16, 16 | ||

b. | -16, -16 | ||

c. | 16, -16 | ||

d. | -16, 16 |

[Original equation.]

[Substitute 4 for

= 16

[Simplify.]

[Substitute -4 for

= 16

[Simplify.]

Correct answer : (1)

100.

The function $f$($x$) = 80$x$ describes the distance traveled by a truck in miles and $x$ represents the time taken by the truck. What is the distance traveled by the truck in 7 hours?

a. | 474 | ||

b. | 553 | ||

c. | 560 | ||

d. | 567 |

[original equation.]

[substitute 7 for

= 560

[simplify.]

The distance traveled by the truck in 7 hours is 560 miles.

Correct answer : (3)