# Algebra EOC Practice - Classifying Functions

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Lreusch
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Quizzes Created: 11 | Total Attempts: 41,158
Questions: 28 | Attempts: 109  Settings  • 1.
• A.

Linear

• B.

• C.

Exponential

• D.

None of the above

C. Exponential
Explanation
The correct answer is Exponential. This means that the given question is asking for a type of function or equation, and the correct choice is Exponential. Linear and Quadratic are also types of functions, but they are not the correct answer in this case. The option "None of the above" is not the correct answer either.

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• 2.
• A.

Linear

• B.

• C.

Exponential

• D.

None of the above

A. Linear
Explanation
Linear refers to a type of relationship or function where the change in one variable is directly proportional to the change in another variable. In a linear relationship, the graph of the function is a straight line. This means that as one variable increases or decreases, the other variable also increases or decreases at a constant rate. In contrast, quadratic and exponential relationships involve non-linear patterns and do not have a constant rate of change. Therefore, the correct answer is Linear.

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• 3.
• A.

Linear

• B.

• C.

Exponential

• D.

None of the above

D. None of the above
• 4.
• A.

Linear

• B.

• C.

Exponential

• D.

None of the above

A. Linear
Explanation
The correct answer is "Linear" because linear refers to a relationship or function that has a constant rate of change. In other words, as the input variable increases or decreases, the output variable also increases or decreases at a constant rate. This is in contrast to quadratic, which has a squared term, and exponential, which has a variable raised to a power. Therefore, linear is the most appropriate answer among the given options.

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• 5.
• A.

Linear

• B.

• C.

Exponential

• D.

None of the above

C. Exponential
Explanation
Exponential growth refers to a pattern where a quantity increases rapidly over time. In mathematics, an exponential function is characterized by a constant base raised to a variable exponent. This results in a curve that starts slowly and then rapidly increases, becoming steeper as the value of the exponent increases. In contrast, linear and quadratic functions have a more predictable and gradual rate of change. Therefore, the correct answer is "Exponential" as it represents a distinct and rapid growth pattern.

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• 6.
• A.

Linear

• B.

• C.

Exponential

• D.

None of the above

Explanation
The given options include linear, quadratic, exponential, and none of the above. The correct answer is quadratic. Quadratic refers to a mathematical equation or function that has a degree of 2. It represents a parabolic curve and is characterized by a squared term. In contrast, linear equations have a degree of 1 and represent a straight line, while exponential equations have a variable in the exponent. Therefore, the correct answer is quadratic.

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• 7.
• A.

Linear

• B.

• C.

Exponential

• D.

None of the above

A. Linear
Explanation
Linear refers to a mathematical relationship between two variables where the graph of the equation forms a straight line. This means that as one variable increases or decreases, the other variable changes at a constant rate. In contrast, quadratic and exponential relationships involve curves and non-constant rates of change. Therefore, the correct answer is linear because it represents a specific type of mathematical relationship.

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• 8.
• A.

Linear

• B.

• C.

Exponential

• D.

None of the above

D. None of the above
• 9.
• A.

Linear

• B.

• C.

Exponential

• D.

None of the above

Explanation
The correct answer is Quadratic because the question is asking for a type of function, and out of the options provided, quadratic is the only one that represents a second-degree polynomial function. Linear functions have a constant rate of change, exponential functions have a constant ratio of change, but quadratic functions have a variable rate of change and a squared term in the equation.

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• 10.
• A.

Linear

• B.

• C.

Exponential

• D.

None of the above

A. Linear
Explanation
Linear refers to a type of relationship or pattern that is characterized by a constant rate of change. In other words, when a relationship or pattern is linear, it means that as one variable increases or decreases, the other variable also increases or decreases at a consistent rate. This is in contrast to quadratic and exponential relationships, which have different rates of change. Therefore, the correct answer is Linear because it is the only option that describes a specific type of relationship.

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• 11.
• A.

Linear

• B.

• C.

Exponential

• D.

None of the above

D. None of the above
Explanation
The given options are Linear, Quadratic, and Exponential. However, the correct answer is "None of the above", indicating that the given options do not accurately represent the answer. Therefore, the correct answer is not any of the options provided.

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• 12.
• A.

Linear

• B.

• C.

Exponential

• D.

None of the above

Explanation
The correct answer is Quadratic. This means that the given options are describing different types of functions. Linear functions have a constant rate of change, while exponential functions have a constant ratio of change. However, quadratic functions have a squared term, which means that the rate of change is not constant and the graph forms a parabola. Therefore, the correct answer is Quadratic.

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• 13.
• A.

Linear

• B.

• C.

Exponential

• D.

None of the above

C. Exponential
Explanation
Exponential refers to a mathematical function in which the variable is an exponent. In this context, the answer "Exponential" suggests that the given question is likely asking about the type of function or relationship being discussed. The other options, Linear and Quadratic, refer to different types of functions with specific characteristics, while "None of the above" implies that the correct answer does not fall into any of these categories.

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• 14.
• A.

Linear

• B.

• C.

Exponential

• D.

None of the above

C. Exponential
Explanation
Exponential functions are characterized by a constant rate of change, where the output values grow or decay at an increasing rate. In contrast, linear functions have a constant rate of change, while quadratic functions have a variable rate of change. Since none of the other options accurately describe the behavior of exponential functions, the correct answer is "Exponential."

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• 15.
• A.

Linear

• B.

• C.

Exponential

• D.

None of the above

Explanation
The given options are linear, quadratic, exponential, and none of the above. The correct answer is quadratic. This means that the relationship or function being described in the question follows a quadratic pattern. Quadratic functions have a degree of 2 and can be represented by a parabolic curve.

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• 16.
• A.

Linear

• B.

• C.

Exponential

• D.

None of the above

A. Linear
Explanation
Linear refers to a relationship or equation that is represented by a straight line. In mathematics, a linear equation is of the form y = mx + b, where m is the slope of the line and b is the y-intercept. This means that as the value of x increases or decreases, the value of y changes at a constant rate. Therefore, the answer "Linear" indicates that the given relationship or equation follows a straight line pattern.

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• 17.
• A.

Linear

• B.

• C.

Exponential

• D.

None of the above

C. Exponential
Explanation
Exponential refers to a mathematical function in which the variable is an exponent. It is characterized by rapid growth or decay. In this context, the options given are different types of functions. Linear refers to a function with a constant rate of change, Quadratic refers to a function with a squared variable, and Exponential refers to a function with an exponent variable. None of the above implies that none of the given options are correct. Therefore, the correct answer is Exponential.

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• 18.
• A.

A

• B.

B

• C.

C

• D.

D

C. C
• 19.
• A.

A

• B.

B

• C.

C

• D.

D

C. C
• 20.
• A.

Linear

• B.

• C.

Exponential

• D.

None of the above

A. Linear
Explanation
Linear refers to a type of relationship or function where the rate of change between two variables is constant. In other words, as one variable increases or decreases, the other variable changes at a consistent rate. This can be represented by a straight line on a graph. In contrast, quadratic and exponential relationships involve non-constant rates of change. Therefore, the correct answer is Linear.

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• 21.
• A.

Linear

• B.

• C.

Exponential

• D.

None of the above

C. Exponential
Explanation
Exponential refers to a mathematical function where the variable is an exponent. In this context, it suggests that the given question is asking about the type of function or relationship between variables. The answer "Exponential" implies that the relationship being discussed follows an exponential pattern, where the variable increases or decreases at an accelerating rate. The other options, linear and quadratic, represent different types of relationships that do not fit the given question.

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• 22.
• A.

Linear

• B.

• C.

Exponential

• D.

None of the above

C. Exponential
Explanation
The given answer "Exponential" suggests that the question is asking about a type of function or equation. Linear and quadratic are both types of polynomial functions, while exponential refers to a specific type of function where the variable is the exponent. Therefore, the correct answer is "Exponential" because it is a distinct type of function that is different from linear and quadratic.

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• 23.
• A.

Linear

• B.

• C.

Exponential

• D.

None of the above

C. Exponential
Explanation
Exponential growth is a mathematical term used to describe a pattern of growth where the rate of increase is proportional to the current value. In this context, "exponential" suggests that the growth or change in the given situation is not linear or quadratic, but rather follows an exponential pattern. Therefore, the correct answer is "Exponential."

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• 24.
• A.

Linear

• B.

• C.

Exponential

• D.

None of the above

A. Linear
Explanation
The correct answer is "Linear" because linear refers to a relationship between two variables that can be represented by a straight line on a graph. In this context, it means that the given options (quadratic and exponential) do not accurately describe the relationship between the variables.

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• 25.
• A.

A

• B.

B

• C.

C

• D.

D

C. C
• 26.
• A.

A

• B.

B

• C.

C

• D.

D

A. A
• 27.
• A.

A

• B.

B

• C.

C

• D.

D

C. C
• 28.
• A.

A

• B.

B

• C.

C

• D.

D Back to top