Function Worksheets

**Page 1**

1.

Which table represents a function?

a. | Table A | ||

b. | Table B | ||

c. | Table C | ||

d. | Table D |

In Table B, the input value 20 has two output values.

In Table C, the input value 10 has two output values.

In Table D, the input value 40 has two output values.

So, Table B, C and D do not represent a function.

Correct answer : (1)

2.

Which of the line graphs represents the function given by the input-output table?

a. | Graph 1 | ||

b. | Graph 2 | ||

c. | Graph 3 | ||

d. | Graph 4 |

Graph 3 satisfies the table.

Correct answer : (3)

3.

Which table represents a function?

a. | Table A | ||

b. | Table A & B | ||

c. | Table A & C | ||

d. | All |

So, all the tables represent a function.

Correct answer : (4)

4.

Choose an input-output table for the function $y$ = 2$x$ - 3, for $x$ = 5, 10, 15, 20, and 25.

a. | Table 1 | ||

b. | Table 2 | ||

c. | Table 3 | ||

d. | Table 4 |

Input | Function | Output |

So, the table for the function

Correct answer : (2)

5.

Choose an input-output table for the function $y$ = 3(10 - $x$), for $x$ = 0, 2, 4, 6, and 8.

a. | Table B | ||

b. | Table C | ||

c. | Table D | ||

d. | Table A |

Input | Function | Output |

Correct answer : (4)

6.

Which function has an output of $m$ = 32 for an input of $n$ = 10?

a. | $m$ = 3$n$ + 2 | ||

b. | $m$ = 2$n$ + 3 | ||

c. | $m$ = 3$n$ - 2 | ||

d. | $m$ = 32$n$ |

[Substitute

[Substitute

[Substitute

[Substitute

So,

Correct answer : (1)

7.

Which function is best reprsented by the table?

Input($x$) | 1 | 2 | 3 | 4 | 5 |

Output($y$) | 4 | 7 | 10 | 13 | 16 |

a. | $y$ = 3$x$ - 1 | ||

b. | $y$ = 3$x$ + 2 | ||

c. | $y$ = 2$x$ + 2 | ||

d. | $y$ = 3$x$ + 1 |

So, the function is

Correct answer : (4)

8.

Which function is best represented by the table?

Input($x$) | 1 | 2 | 3 | 4 | 5 | 6 |

Output($y$) | 10 | 20 | 30 | 40 | 50 | 60 |

a. | $y$ = 10($x$ + 1) | ||

b. | $y$ = 20($x$ + 1) | ||

c. | $y$ = 10$x$ | ||

d. | $y$ = 10($x$ - 1) |

So, the function is

Correct answer : (3)

9.

Choose the range of the function from the input-output table.

Input($x$) | 1 | 2 | 3 | 4 | 5 | 6 |

Output($y$) | 6 | 15 | 20 | 10 | 8 | 1 |

a. | {1, 6, 2, 15, 3, 20} | ||

b. | {6, 15, 20, 10, 8, 1} | ||

c. | {1, 2, 3, 4, 5, 6, 6, 15, 20, 10, 8, 1} | ||

d. | {1, 2, 3, 4, 5, 6} |

So, the range of the function from the table is {6, 15, 20, 10, 8, 1}.

Correct answer : (2)

10.

Katie had $8 with her. She sold $n$ apples at $4 each and earned some money. Identify an equation for the money $f$($n$) she had with her finally.

a. | $f$($n$) = 4$n$ + 8 | ||

b. | $f$($n$) = 4 $n$ - 8 | ||

c. | $f$($n$) = 8 - $n$ | ||

d. | $f$($n$) = 8 $n$ |

The money earned by selling

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

Correct answer : (1)