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Functions

Description: This quiz will test your understanding of functions, including their properties, types, and applications.
Number of Questions: 15
Created by:
Tags: functions algebra mathematics
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What is a function?

  1. A relation that assigns to each element of a set a unique element of another set

  2. A set of ordered pairs

  3. A graph

  4. An equation

Show answer
Correct Option: A
Explanation:

A function is a relation that assigns to each element of a set, called the domain, a unique element of another set, called the codomain.

What is the domain of a function?

  1. The set of all possible inputs

  2. The set of all possible outputs

  3. The set of all ordered pairs in the function

  4. The graph of the function

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Correct Option: A
Explanation:

The domain of a function is the set of all possible values that can be input into the function.

What is the codomain of a function?

  1. The set of all possible inputs

  2. The set of all possible outputs

  3. The set of all ordered pairs in the function

  4. The graph of the function

Show answer
Correct Option: B
Explanation:

The codomain of a function is the set of all possible values that can be output by the function.

What is the range of a function?

  1. The set of all possible inputs

  2. The set of all possible outputs

  3. The set of all ordered pairs in the function

  4. The graph of the function

Show answer
Correct Option: B
Explanation:

The range of a function is the set of all possible values that can be output by the function.

What is the inverse of a function?

  1. A function that undoes the original function

  2. A function that has the same domain and codomain as the original function

  3. A function that has the same graph as the original function

  4. A function that has the same equation as the original function

Show answer
Correct Option: A
Explanation:

The inverse of a function is a function that undoes the original function, meaning that if you apply the inverse function to the output of the original function, you get the input.

What is a linear function?

  1. A function whose graph is a straight line

  2. A function whose equation is a linear equation

  3. A function whose rate of change is constant

  4. All of the above

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Correct Option: D
Explanation:

A linear function is a function whose graph is a straight line, whose equation is a linear equation, and whose rate of change is constant.

What is a quadratic function?

  1. A function whose graph is a parabola

  2. A function whose equation is a quadratic equation

  3. A function whose rate of change is not constant

  4. All of the above

Show answer
Correct Option: D
Explanation:

A quadratic function is a function whose graph is a parabola, whose equation is a quadratic equation, and whose rate of change is not constant.

What is a polynomial function?

  1. A function whose graph is a polynomial curve

  2. A function whose equation is a polynomial equation

  3. A function whose rate of change is not constant

  4. All of the above

Show answer
Correct Option: D
Explanation:

A polynomial function is a function whose graph is a polynomial curve, whose equation is a polynomial equation, and whose rate of change is not constant.

What is a rational function?

  1. A function whose graph is a rational curve

  2. A function whose equation is a rational equation

  3. A function whose rate of change is not constant

  4. All of the above

Show answer
Correct Option: D
Explanation:

A rational function is a function whose graph is a rational curve, whose equation is a rational equation, and whose rate of change is not constant.

What is an algebraic function?

  1. A function whose graph is an algebraic curve

  2. A function whose equation is an algebraic equation

  3. A function whose rate of change is not constant

  4. All of the above

Show answer
Correct Option: D
Explanation:

An algebraic function is a function whose graph is an algebraic curve, whose equation is an algebraic equation, and whose rate of change is not constant.

What is a transcendental function?

  1. A function whose graph is not an algebraic curve

  2. A function whose equation is not an algebraic equation

  3. A function whose rate of change is not constant

  4. All of the above

Show answer
Correct Option: D
Explanation:

A transcendental function is a function whose graph is not an algebraic curve, whose equation is not an algebraic equation, and whose rate of change is not constant.

What is a periodic function?

  1. A function whose graph repeats itself at regular intervals

  2. A function whose equation is periodic

  3. A function whose rate of change is periodic

  4. All of the above

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Correct Option: D
Explanation:

A periodic function is a function whose graph repeats itself at regular intervals, whose equation is periodic, and whose rate of change is periodic.

What is an even function?

  1. A function whose graph is symmetric about the y-axis

  2. A function whose equation is even

  3. A function whose rate of change is even

  4. All of the above

Show answer
Correct Option: D
Explanation:

An even function is a function whose graph is symmetric about the y-axis, whose equation is even, and whose rate of change is even.

What is an odd function?

  1. A function whose graph is symmetric about the origin

  2. A function whose equation is odd

  3. A function whose rate of change is odd

  4. All of the above

Show answer
Correct Option: D
Explanation:

An odd function is a function whose graph is symmetric about the origin, whose equation is odd, and whose rate of change is odd.

What is a monotonic function?

  1. A function whose graph is always increasing or always decreasing

  2. A function whose equation is monotonic

  3. A function whose rate of change is monotonic

  4. All of the above

Show answer
Correct Option: D
Explanation:

A monotonic function is a function whose graph is always increasing or always decreasing, whose equation is monotonic, and whose rate of change is monotonic.

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