Quiz - Relations & Functions

Question 1

A relation associates five foods to the food groups to which they belong:       
{ (orange, fruit), (cheese, dairy) (broccoli, vegetable) (milk, dairy) (kiwi, fruit) }  Which statement is true?

Accepted Answer

Orange is an element in the domain.

Answer

Vegetable is an element in the domain.

Answer

This relation is not a function.

Answer

Kiwi is an element in the range.

Question 2

The equation M = 4.4n, relates the number of quarters, n, to its mass, M, in grams.        What is the independent variable?

Accepted Answer

The number of quarters.

Answer

The mass of the quarters.

Answer

The value of the quarters.

Answer

Each quarter weighs 4.4 grams.

Question 3

The height of a plane is a function of the time since take off.  Identify the dependent variable?

Accepted Answer

height

Answer

speed

Answer

time

Answer

acceleration

Question 4

Which set of ordered pairs represents a function?

Accepted Answer

{ (2, 4)  (3, 4)  (4, 4,)  (5, 4)  (6,4)  }

Answer

{ (1,1)  (1,– 1)  ( 4, 2)  (4, –2)   (9, 3) }

Answer

{ (3, 4)  (3, 5)  (3, 6)  (3, 7)  (3, 8)  }

Answer

{  (1, 2)  (2, 3)  (3,4)   (4,5)  (4, 6)  }

Question 5

What is the domain of the following relation?

Accepted Answer

[– 4, 4)

Answer

.    ( – 4, 4)

Answer

(– 4, 4]

Answer

[– 4, 4]

Question 6

The cost, C, in dollars, of renting a hall for the prom is given by the formula C(n) = 500 + 4n, where n is the number of students attending the prom. Calculate the cost of renting the hall if 70 students attend.

Accepted Answer

$780

Answer

$108

Answer

$500

Answer

$970

Question 7

Hannah went for a run.  The graph below shows her distance from home in km  versus the time in minutes she was running for.  Which of the following  statements is correct?