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# Function Worksheets - Page 6

Function Worksheets
• Page 6
51.
A function is described by the equation $f$($x$) = 3$x$ + 5. The replacement set for the independent variable is {1, 2, 5, - 7}. Which of the following is contained in the corresponding set for the dependent variable?
 a. - 1 b. - 16 c. 26 d. - 8

Correct answer : (2)
52.
Jake works as a sales representative in a company. He earns \$1,275 per month plus an 8% commission on his total sales. Identify the dependent variable in Jake's situation.
 a. initial salary per month b. commission c. number of hours working per day d. total sales

Correct answer : (2)
53.
The total cost of apples that Jack purchased is a function of number of apples. Which of the statements is true?
 a. The total cost of apples is the independent variable. b. There is no relation between the number of apples and the total cost. c. Insufficient data d. The total cost of apples is the dependent variable.

#### Solution:

Independent variable is the input and the dependent variable is the output of the situation.

From the given function, independent variables is number of apples and the dependent variable is total cost of apples.

Among the choices, "total cost of apples" is true for the data.

Correct answer : (4)
54.
The perimeter of a square is 4 × side. Which of the following is true for the data?
 a. Perimeter dependent variable b. Insufficient data c. Perimeter is independent variable d. Side is dependent variable

#### Solution:

Independent variable is the input and the dependent variable is the output of the situation.

From the given function, independent variable is side and the dependent variable is perimeter.

Among the choices, "perimeter is dependent variable" is true for the data.

Correct answer : (1)
55.
Parking charge of a vehicle is a function of number of hours parked. Which of the following is true for the data?
 a. Number of hours parked is a dependent variable b. Insufficient data c. Parking charge is an independent variable d. Parking charge is a dependent variable

#### Solution:

Independent variable is the input and the dependent variable is the output of the situation.

From the given function, independent variable is the number of hours parked and the dependent variable is parking charge for the vehicle.

Among the choices, "parking charge is a dependent variable" is true for the data.

Correct answer : (4)
56.
To which function does the range {$y$ | $y$ = - 3} belong?
 a. $f$($x$) = | 3 | b. $f$($x$) = - 3 c. $f$($x$) = 3 d. $f$($x$) = |- 3 |

Correct answer : (2)
57.
Find the domain of the function:

$f$($x$) = [$x$ + 1] if $x$ ≥ - 1

[$x$] if $x$ < 0
 a. all natural numbers b. all real numbers c. all intergers d. all positive real numbers

Correct answer : (2)
58.
To which function does the range {$y$ | $y$ ≤ 0} belong?
 a. $f$($x$) = 2 + $x$ b. $f$($x$) = | $x$ | c. $f$($x$) = 2 - $x$ d. $f$($x$) = |- $x$ |

Correct answer : (3)
59.
Which graph corresponds to the range {1, 2, 3, 5, 6}?

 a. Graph 3 b. Graph 4 c. Graph 1 d. Graph 2

Correct answer : (2)
60.
Find the domain for the graphed function.

 a. {1, 2, 3, 4, 5, 6 } b. {1, 2, 3, 3.5, 5 } c. all positive real numbers d. all real numbers