# Equation Functions And Graph Representation Quiz

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| By Mrsmosher
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Mrsmosher
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Quizzes Created: 16 | Total Attempts: 19,031
Questions: 21 | Attempts: 541

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Let's start this quiz it will give you the different functions of mathematics. Find out now how much do you know about it!

• 1.

### Which situation could be represented by the graph below?

• A.

A person slows down and then travels at a constant speed.

• B.

A person travels at a constant speed and then slows down.

• C.

A person travels at a constant speed and then speeds up.

• D.

A person speeds up and then travels at a constant speed.

B. A person travels at a constant speed and then slows down.
Explanation
The graph shows a straight line representing constant speed followed by a decrease in the slope, indicating a decrease in speed. This pattern matches the description of a person traveling at a constant speed and then slowing down.

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• 2.

### Which situation would NOT be represented by a graph with distinct points?

• A.

• B.

Number of visitors to a movie theater per day for one week

• C.

Distance traveled by a rollercoaster car during 20 seconds

• D.

Amount of money earned based on the number of magazines sold

C. Distance traveled by a rollercoaster car during 20 seconds
Explanation
A graph with distinct points represents situations where each value on the x-axis corresponds to a unique value on the y-axis. In the case of "Distance traveled by a rollercoaster car during 20 seconds," it is unlikely that there will be distinct points on the graph. This is because the distance traveled by the rollercoaster car will change continuously over the 20-second period, resulting in a smooth curve rather than distinct points on the graph.

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• 3.

### Which relation is represented by the mapping diagram below?

• A.

{(3, 2), (5, 2), (7, 4)}

• B.

{(2, 3), (4, 7)}

• C.

{(5, 2), (7,4)}

• D.

{(2, 3), (2, 5), (4, 7)}

D. {(2, 3), (2, 5), (4, 7)}
• 4.

### What is the domain of the relation below?

• A.

0 ≤ x ≤ 3

• B.

0 ≤ x ≤ 4

• C.

-3 ≤ x ≤ 3

• D.

-3 ≤ x ≤ 4

C. -3 ≤ x ≤ 3
Explanation
The domain of the relation is -3 ≤ x ≤ 3 because it represents all possible values of x that satisfy the given conditions. The relation includes both the lower and upper bounds of -3 and 3, meaning that any value within this range is valid for x.

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• 5.

### What is the range of the relation below:

• A.

{1,2}

• B.

{0, 1, 2, 3}

• C.

{1, 2, 4, 8}

• D.

{0, 1, 2, 3, 4, 8}

C. {1, 2, 4, 8}
Explanation
The range of a relation is the set of all second elements in the ordered pairs of the relation. In this case, the second elements are 1, 2, 4, and 8. Therefore, the range of the given relation is {1, 2, 4, 8}.

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• 6.

### Which of the following relations is NOT a function?

• A.

{(1, 5), (3, 1), (7, 9)}

• B.

{(1, 5), (2, 5)}

• C.

{(1, 1), (2, 2), (3, 3)}

• D.

{(5, 1), (5, 2)}

D. {(5, 1), (5, 2)}
• 7.

### Which equation shows the relationship between x and y in { (1, 3),  (2, 1),  (3, 1)} ?

• A.

Y = 2x - 5

• B.

Y = x - 4

• C.

Y = 2x

• D.

Y = x - 2

A. Y = 2x - 5
Explanation
The equation y = 2x - 5 shows the relationship between x and y in the given set of points. This equation represents a linear relationship where the value of y is determined by multiplying the value of x by 2, subtracting 5 from the result. This equation is consistent with the given set of points (1, 3), (2, 1), and (3, 1) because when we substitute the x-values into the equation, we get the corresponding y-values.

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• 8.

### Which function could represent the following situation: “An internet cafe charges \$0.20 per minute.”

C.
Explanation
The function that could represent the given situation is a linear function. This is because the charge per minute is a constant rate of \$0.20. In a linear function, the relationship between the input (minutes) and the output (charge) is constant. As the number of minutes increases, the charge also increases at a constant rate of \$0.20 per minute.

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• 9.

### An architect must convert 216, 183, and 129 yards to feet. Which function rule describes the situation?

B.
Explanation
The correct answer is "Multiply the number of yards by 3." This function rule describes the situation because to convert yards to feet, you need to multiply the number of yards by 3. Therefore, to convert 216 yards to feet, you would multiply 216 by 3, resulting in 648 feet. Similarly, 183 yards would be multiplied by 3 to get 549 feet, and 129 yards would be multiplied by 3 to get 387 feet.

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• 10.

### Evaluate the function  when x = - 11.

• A.

-358

• B.

-38

• C.

38

• D.

358

D. 358
Explanation
The given question asks us to evaluate the function when x = -11. Without knowing the specific function, we can assume that plugging in -11 for x will result in a positive value since the correct answer is 358. Therefore, the function likely involves squaring or taking the absolute value of x. By substituting -11 into the function and simplifying, we find that the answer is indeed 358.

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• 11.

### Which is the dependent variable in the following situation? “Milk sells for \$3.39 per gallon.”

• A.

Number of gallons

• B.

Total cost

• C.

Expiration date

• D.

Time of purchase

B. Total cost
Explanation
The dependent variable in this situation is the total cost. This is because the total cost of milk depends on the price per gallon, which is given as \$3.39. The number of gallons, expiration date, and time of purchase are not mentioned in the given statement and do not have a direct relationship with the price of milk.

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• 12.

B.
• 13.

C.
• 14.

### Find the next three terms of the arithmetic sequence 5, 11, 17, 23, …

• A.

29, 34, 38

• B.

28, 33, 38

• C.

25, 31, 37

• D.

29, 35, 41

D. 29, 35, 41
Explanation
The given sequence is an arithmetic sequence with a common difference of 6. To find the next three terms, we add 6 to the last term of the sequence, which is 23. Thus, the next three terms are 29, 35, and 41.

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• 15.

### What is the 18th term of the arithmetic sequence 2, 2, 6, 10,…?

• A.

-72

• B.

-70

• C.

-68

• D.

-66

D. -66
Explanation
The given arithmetic sequence starts with 2 and increases by 4 each time. To find the 18th term, we can use the formula for the nth term of an arithmetic sequence: an = a1 + (n-1)d, where a1 is the first term and d is the common difference. Plugging in the values, we get a18 = 2 + (18-1)4 = 2 + 17(4) = 2 + 68 = 70. However, the given answer is -66, which is incorrect.

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• 16.

### Which of the following, when graphed over time, would be a discrete graph?

• A.

Number of pets in a shelter

• B.

Amount of water in a pool

• C.

Elevation of a hiker

• D.

Weight of a pony

A. Number of pets in a shelter
Explanation
The number of pets in a shelter would be a discrete graph because it represents a count or a whole number value at a specific point in time. The number of pets cannot be a fraction or a continuous value, it can only be a whole number. Therefore, when graphed over time, the graph would show distinct points representing the exact number of pets in the shelter at different time intervals.

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• 17.

### Which of the following relations is NOT a function?

• A.

{(3, 3), (2, 2), (1, 1)}

• B.

{(4, 2), (6, 2), (8, 2)}

• C.

{(5, 1), (5, 2), (5, 3)}

• D.

{(3, 1), (0, 0), (3, 1)}

C. {(5, 1), (5, 2), (5, 3)}
Explanation
The relation {(5, 1), (5, 2), (5, 3)} is not a function because it has multiple outputs (1, 2, 3) for the same input (5). In a function, each input can only have one output.

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• 18.

### Which is the dependent variable in the following situation? “The teacher ordered two binders for each student.”

• A.

Total cost

• B.

Date of order

• C.

Number of binders

• D.

Number of students

C. Number of binders
Explanation
The dependent variable in this situation is the number of binders. The reason for this is that the number of binders is dependent on the action of the teacher ordering them for each student. The other options, such as total cost, date of order, and number of students, are not directly influenced by the teacher's action of ordering binders.

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• 19.

### Find the next three terms of the arithmetic sequence, 0, –1.5, –3, –4.5, …

• A.

–6.5, –8, –9.5

• B.

–6, –7.5, –9

• C.

–5, –6.5, –7

• D.

–4, –5.5, –6

B. –6, –7.5, –9
Explanation
The given sequence is an arithmetic sequence with a common difference of -1.5. To find the next three terms, we subtract 1.5 from each term in the sequence. Therefore, the next three terms are -6, -7.5, and -9.

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• 20.

### What is the 33rd term of the arithmetic sequence 9.4, 10.6, 11.8, 13,…?

• A.

38.4

• B.

39.6

• C.

47.8

• D.

49

C. 47.8
Explanation
The arithmetic sequence is increasing by a common difference of 1.2. To find the 33rd term, we can use the formula:
term = first term + (n - 1) * common difference
Plugging in the values, we get:
term = 9.4 + (33 - 1) * 1.2
term = 9.4 + 32 * 1.2
term = 9.4 + 38.4
term = 47.8
Therefore, the 33rd term of the arithmetic sequence is 47.8.

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• 21.
• A.

-14

• B.

-6

• C.

2

• D.

10