Function Worksheets

**Page 12**

111.

Valerie bought apples at $3 each. Which function represents the relation between the number of apples ($a$), she bought and the total cost, $f$($a$)?

a. | $f$($a$) = 3 | ||

b. | $f$(3) = $a$ | ||

c. | $f$($a$) = $\frac{a}{3}$ | ||

d. | $f$($a$) = 3$a$ |

[Substitute the values.]

[Simplify.]

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

Correct answer : (4)

112.

Which function is best represented by the table?

Input | Output |

6 | 5 |

11 | 10 |

16 | 15 |

7 | 6 |

a. | Output = 1 - Input | ||

b. | Output = 3 - Input | ||

c. | Output = Input - 1 | ||

d. | Output = Input + 1 |

So, the relation between the input and output values is Output = Input - 1.

Correct answer : (3)

113.

Which of the tables gives the input-output relationship for the rule $y$ = 5$x$ + 2 where $x$ = 1, 2, 3, 4?

a. | Table 1 | ||

b. | Table 2 | ||

c. | Table 3 | ||

d. | Table 4 |

[Original equation.]

[Substitute

[Substitute

[Substitute

[Substitute

The values obtained can be shown in the form of a table as shown in Table 2.

So, Table 2 gives the input-output relationship for the rule.

Correct answer : (2)

114.

Which function is best represented by the graph?

a. | Output = Input + 2 | ||

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

c. | Output = 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 : (2)

115.

Which of the function tables represents the function $f$($x$) = $\frac{5}{2}$$x$, for $x$ = 2, 4, 6, 8, and 10 as domain?

a. | Table 4 | ||

b. | Table 3 | ||

c. | Table 1 | ||

d. | Table 2 |

[Original function.]

[Substitute the domain values in the function.]

The values of

Table 1 is the function table, which describes the function.

Correct answer : (3)