Function Worksheets

**Page 2**

11.

Nina and Katie wanted to organize a farewell party for their seniors. They collected an amount of $720 from the class. The caterers charged at the rate of $48 per person attended. Choose an equation to represent the situation assuming $x$ as the number of persons attended and $y$ as the amount left with Nina and Katie after the party.

a. | $y$ = 720 - 48$x$ | ||

b. | $y$ = 48$x$ - 720 | ||

c. | $y$ = $\frac{720}{\mathrm{x}}$ - 48 | ||

d. | $x$ = 720 - 48$y$ |

The amount charged by caterers = $48 per person

Number of persons attended =

Total amount charged by the caterers = 48

[Amount charged = Charge per person × number of persons.]

The balance amount = 720 - 48

[Balance = Total - amount spent.]

Correct answer : (1)

12.

Which function has an output of $y$ = 0 for an input of $x$ = - 2?

a. | $y$ = 5$x$ | ||

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

c. | $y$ = 2($x$ - 3) | ||

d. | $y$ = 5$x$ + 10 |

[Substitute

[Substitute

[Substitute

So,

Correct answer : (4)

13.

Which of the following rules define $y$ as a function of $x$?

a. | Table-d | ||

b. | Table-c | ||

c. | Table-b | ||

d. | Table-a |

Since in each of the tables b, c, d one value of

Correct answer : (4)

14.

Which of the following rules define $y$ as a function of $x$?

a. | Table-a | ||

b. | Table-b | ||

c. | Table-c | ||

d. | Table- d |

Since in the choice B, each value of

Correct answer : (2)

15.

Which of the following equations defines $y$ as a function of $x$?

a. | $y$ ^{2} = $x$ | ||

b. | $y$ ^{2} = $x$^{2} | ||

c. | $y$ ^{2} = 8$x$ | ||

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

Consider choice A:

Suppose

Since one value of

Consider Choice B:

Suppose

Since one value of

Consider Choice C:

Suppose

Since one value of

Consider Choice D:

Since one value of the input variable

Correct answer : (4)

16.

Which of the following represents a function?

a. | Fig b | ||

b. | Fig d | ||

c. | Fig a | ||

d. | Fig c |

In each of the other three figures b, c, d, it is possible to draw vertical lines which cut the graphs in two points, so these are not the graphs of functions.

Correct answer : (3)

17.

Which of the following graphs represents a function?

a. | Fig a | ||

b. | Fig b | ||

c. | Fig c | ||

d. | Fig d |

In the choice C, a vertical line if cuts the graph, cuts in only one point, so this is the graph of a function.

Correct answer : (3)

18.

If $f$($x$) = 2$x$^{2} - 3$x$ + 7, then find the value of $f$(0) + $f$(1).

a. | 6 | ||

b. | 13 | ||

c. | 12 | ||

d. | 7 |

[Substitute

[Substitute

So,

Correct answer : (2)

19.

If $f$($x$) = 3$x$^{3} - 2$x$^{2} + $x$ - 3, then find the value of $f$(- 3) - $f$(3) .

a. | - 42 | ||

b. | 42 | ||

c. | - 168 | ||

d. | 105 |

[Substitute

[Substitute

So,

Correct answer : (3)

20.

If $f$($x$) = (4$x$ - 5)^{2}, then what is the value of $f$($f$(1)) ?

a. | 9 | ||

b. | 1 | ||

c. | 5 | ||

d. | - 5 |

[Substitute

[Substitute

= 1

[Substitute

Correct answer : (2)