Function Worksheet

**Page 9**

81.

Which of the following function rules satisfies the graph?

a. | Output = $\frac{\mathrm{Input}}{2}$ | ||

b. | Output = Input + 2 | ||

c. | Out put = 2 × Input | ||

d. | Output = Input |

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

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

So, the function rule that satisfies the graph is output =

Correct answer : (1)

82.

Which of the following function rules satisfies the graph?

a. | Output = $\frac{\mathrm{input}}{2}$ | ||

b. | Output = Input + 2 | ||

c. | Output = Input - 2 | ||

d. | Output = Input ^{2} /2 |

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 = input

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

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 |

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?

Input | Output |

2 | 8 |

3 | 12 |

4 | 16 |

5 | 20 |

6 | 24 |

a. | Output = Input | ||

b. | Output = Input × 4 | ||

c. | Output = Input + 4 | ||

d. | Output = $\frac{\mathrm{Input}}{4}$ |

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?

Input | Output |

20 | 5 |

24 | 6 |

28 | 7 |

32 | 8 |

36 | 9 |

a. | Output = Input × 4 | ||

b. | Output = Input + 4 | ||

c. | Output = $\frac{\mathrm{Input}}{4}$ | ||

d. | None of the above |

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

Correct answer : (3)

86.

Which of the following rules describes the input - output relationship from the table?

Input | Output |

4 | 4 |

5 | 5 |

6 | 6 |

7 | 7 |

8 | 8 |

a. | Output = Input - 1 | ||

b. | Output = Input | ||

c. | Output = $\frac{\mathrm{Input}}{2}$ | ||

d. | Output = Input + 1 |

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

Correct answer : (2)