Function Worksheets

**Page 8**

71.

Find the range of $f$($x$) = 6$x$ - 1, if the domain is - 2.

a. | - 13 | ||

b. | 3 | ||

c. | - 12 | ||

d. | 13 |

[Given function.]

The range of the function can be determined by sustituting the values in the domain of the function.

[Substitute - 2 for

Therefore, the range of the function is - 13.

Correct answer : (1)

72.

The radius of a circle is $r$. If the area of the circle is given as A = $\pi $$r$^{2}, then which of the following is true?

a. | $r$ is a dependent variable | ||

b. | A is an independent variable | ||

c. | A is a dependent variable | ||

d. | $\pi $ is a dependent variable |

From the given function, independent variable is

[

Therefore, the statement 'A is a dependent variable' is true.

Correct answer : (3)

73.

A function is described by the equation $f$($x$) = 2$x$ + 1. The replacement set for the independent variable is {0, 2, 3, 4}. Which of the following is contained in the corresponding set for the dependent variable?

a. | 9 | ||

b. | 2 | ||

c. | 3 | ||

d. | 15 |

Substitute the values of

For

[Substitute

For

[Substitute

For

[Substitute

For

[Substitute

The set for the dependent variable is {1, 5, 7, 9}.

Among the choices, the value 9 is in the dependent variable set.

Correct answer : (1)

74.

Which of the following tables does not represent a function?

a. | Table 1 | ||

b. | Table 4 | ||

c. | Table 3 | ||

d. | Table 2 |

In Table 4, the input value 2 has two output values 10 and 14.

Table 4 does not represent a function.

Correct answer : (2)

75.

Which of the function tables represents the function $f$($x$) = 5$x$ + 2, for $x$ = 0, 1, 2, 3, and 4 as domain?

a. | Table 4 | ||

b. | Table 1 | ||

c. | Table 3 | ||

d. | Table 2 |

[Original function.]

[Substitute the domain values in the function.]

The values of

So, Table 2 represents the given function.

Correct answer : (4)

76.

Which table represents a function?

a. | Table 1 | ||

b. | Table 2 | ||

c. | Table 4 | ||

d. | Table 3 |

In Table 1, the input value 1 has two output values 15 and 60.

In Table 2, the input value 2 has two output values 30 and 45.

In Table 3, the input value 4 has two output values 15 and 60.

Table 4 represents a function, since there is exactly one output for each input.

So, Table 4 represents a function.

Correct answer : (3)

77.

The side of a cube is $a$. If the volume of the cube is given as V = $a$^{3}, then which of the following is true?

a. | $a$ ^{2} is a dependent variable | ||

b. | $a$ is a dependent variable | ||

c. | V is a dependent variable | ||

d. | V is an independent variable |

From the given function, independent variable is

[

Therefore, the statement 'V is a dependent variable' is true.

Correct answer : (3)

78.

The side of a square is $a$. If the perimeter of the square is given as P = 4$a$, then which of the following is true?

a. | $a$ is a dependent variable | ||

b. | P is an independent variable | ||

c. | 4 is a dependent variable | ||

d. | $a$ is an independent variable |

From the given function, independent variable is

[

Therefore, the statement '

Correct answer : (4)

79.

A function is described by the equation $f$($x$) = $x$ + 1. The replacement set for the independent variable is {1, 3, 5, 7}. Which of the following is not contained in the corresponding set for the dependent variable?

a. | 6 | ||

b. | 10 | ||

c. | 8 | ||

d. | 4 |

Substitute the values of

For

[Substitute

For

[Substitute

For

[Substitute

For

[Substitute

The set for the dependent variable is {2, 4, 6, 8}.

Among the choices, the value 10 is not in the dependent variable set.

Correct answer : (2)

80.

Find the distances traveled by Holly and Rebecca in 2, 6 and 11 hours, if they traveled at a steady rate of 30 miles per hour.

a. | 70, 160 and 345 miles | ||

b. | 60, 110 and 30 miles | ||

c. | 60, 180 and 330 miles | ||

d. | 80, 182 and 318 miles |

[Write Distance in terms of speed and time.]

[Distance traveled in 2 hours.]

= 60

[Multiply.]

[Distance traveled in 6 hours.]

= 180

[Multiply.]

[Distance traveled in 30 hours.]

= 330

[Multiply.]

The distances traveled by Holly and Rebecca in 2, 6 and 11 hours are 60, 180 and 330 miles respectively.

Correct answer : (3)