Grade 11 Function Quiz

1. What is the range of the function? g = {(1,1),(2,5),(3,4),(6,7)}

R = {1, 5, 4, 7}

R = {1, 2, 3, 6}

R = {1, 2, 3, 4, 5, 6, 7}

R = {2, 5, 4, 7}

The range of a function refers to the set of all possible output values of the function. In this case, the given function g has the following output values: 1, 5, 4, and 7. Therefore, the correct answer is R = {1, 5, 4, 7}.

Explanation

The range of a function refers to the set of all possible output values of the function. In this case, the given function g has the following output values: 1, 5, 4, and 7. Therefore, the correct answer is R = {1, 5, 4, 7}.

2.

This table shows the relation between the number of hours studied and the grade earned on the science test. Which shows the domain and range of the relation?

D = {x € R | x > 0} R = {y € R | 60

D = {0,1, 2, 3, 4, 5} R = {60, 72, 75, 81, 88, 92}

D = {x € I | x => 0} R = {x € I | x => 62}

D = {60, 72, 75, 81, 88, 92}R = {0,1, 2, 3, 4, 5}

The correct answer is D = {0,1, 2, 3, 4, 5} and R = {60, 72, 75, 81, 88, 92}. This answer correctly represents the domain and range of the relation between the number of hours studied and the grade earned on the science test. The domain (D) consists of the values 0, 1, 2, 3, 4, and 5, which are the possible number of hours studied. The range (R) consists of the values 60, 72, 75, 81, 88, and 92, which are the possible grades earned on the test.

Explanation

The correct answer is D = {0,1, 2, 3, 4, 5} and R = {60, 72, 75, 81, 88, 92}. This answer correctly represents the domain and range of the relation between the number of hours studied and the grade earned on the science test. The domain (D) consists of the values 0, 1, 2, 3, 4, and 5, which are the possible number of hours studied. The range (R) consists of the values 60, 72, 75, 81, 88, and 92, which are the possible grades earned on the test.

3.

Which relation is not a function

Diagram A

Diagram B

Diagram C

Diagram D

In a function, each input has only one corresponding output. Looking at the given options, diagram C shows a relation where one input has multiple outputs. Therefore, diagram C is not a function.

Explanation

In a function, each input has only one corresponding output. Looking at the given options, diagram C shows a relation where one input has multiple outputs. Therefore, diagram C is not a function.

4. Temperature and elevation are related. The average temperature at the summit of Mount Everest in July is 19 Celsius. The average Temperature at the Khumbo Glacier Base Camp in July is –3 Celsius. Which is the dependent variable?

Temperature

Location

Elevation

Mountain

The dependent variable in this scenario is temperature. The reason for this is that temperature is being influenced or affected by the independent variable, which is either location, elevation, or mountain. In this case, the temperature is being influenced by the elevation, as the average temperature decreases as the elevation increases. Therefore, temperature is the dependent variable in this situation.

Explanation

The dependent variable in this scenario is temperature. The reason for this is that temperature is being influenced or affected by the independent variable, which is either location, elevation, or mountain. In this case, the temperature is being influenced by the elevation, as the average temperature decreases as the elevation increases. Therefore, temperature is the dependent variable in this situation.

5.

Is the relation a function? Explain.

Yes, it passes the vertical line test

No, it does not pass the vertical line test

Yes, it is a parabola

No, it has negative y-values

The explanation for the given correct answer is that if a relation passes the vertical line test, it means that for every x-value, there is only one corresponding y-value. This indicates that each input has a unique output, which is a characteristic of a function. Therefore, the relation in question is a function because it passes the vertical line test.

Explanation

The explanation for the given correct answer is that if a relation passes the vertical line test, it means that for every x-value, there is only one corresponding y-value. This indicates that each input has a unique output, which is a characteristic of a function. Therefore, the relation in question is a function because it passes the vertical line test.

6.

This table shows the relation between the number of candy bars purchases and the total price
Write the relation as a set of ordered pairs.

{2, 11, 6, 5} {2.98, 16.39, 8.94, 7.45}

(2.98, 2), (16.39, 11), (8.94, 6), (7.45, 5)

{x | 2

(2, 2.98), (11, 16.39), (6, 8.94), (5, 7.45)

The correct answer is (2, 2.98), (11, 16.39), (6, 8.94), (5, 7.45). This is the correct answer because it represents the relation between the number of candy bars purchased and the total price. Each ordered pair represents one data point, with the first number in the pair representing the number of candy bars purchased and the second number representing the total price.

Explanation

The correct answer is (2, 2.98), (11, 16.39), (6, 8.94), (5, 7.45). This is the correct answer because it represents the relation between the number of candy bars purchased and the total price. Each ordered pair represents one data point, with the first number in the pair representing the number of candy bars purchased and the second number representing the total price.

7. Which scenario represents a function

The number of chairs and the length of a conference presentation

The number of growth rings and the age of a tree

The style and manufacture dates of soccer cleats

The make/model of a vehicle and its color

The number of growth rings and the age of a tree represents a function because each age of the tree corresponds to a unique number of growth rings. In other words, there is a one-to-one relationship between the age of the tree and the number of growth rings it has.

Explanation

The number of growth rings and the age of a tree represents a function because each age of the tree corresponds to a unique number of growth rings. In other words, there is a one-to-one relationship between the age of the tree and the number of growth rings it has.

8.

What is the domain of the relation shown by the graph?

D = {x € R | x > 0}

D = {x € R }

D = {x € I | x ≠ 0}

D = {x € R | x ≠ 0}

The domain of the relation shown by the graph is D = {x € R | x ≠ 0}. This means that the relation includes all real numbers except for 0. The graph does not include the point (0, y), indicating that the relation is not defined for x = 0.

Explanation

The domain of the relation shown by the graph is D = {x € R | x ≠ 0}. This means that the relation includes all real numbers except for 0. The graph does not include the point (0, y), indicating that the relation is not defined for x = 0.

9.

Which relation is a function?

Diagram a

Diagram b

Diagram c

Diagram d

In a function, each input value (x) is associated with only one output value (y). Looking at diagram c, we can see that for every x-value, there is only one corresponding y-value. This satisfies the definition of a function, making diagram c the correct answer.

Explanation

In a function, each input value (x) is associated with only one output value (y). Looking at diagram c, we can see that for every x-value, there is only one corresponding y-value. This satisfies the definition of a function, making diagram c the correct answer.

10. For which pair of related quantities would time be the independent variable?

Grade, time spent on project

Length of race, finish time

Flight time, rainfall

Distance to work, commute time

In this pair of related quantities, the time spent on a project is the independent variable. This means that the grade received on the project is dependent on the amount of time spent working on it. The more time spent on the project, the potentially higher the grade. The grade is influenced by the amount of time invested in the project, making time the independent variable.

Explanation

In this pair of related quantities, the time spent on a project is the independent variable. This means that the grade received on the project is dependent on the amount of time spent working on it. The more time spent on the project, the potentially higher the grade. The grade is influenced by the amount of time invested in the project, making time the independent variable.