Quiz: Test your H-level Knowledge of Properties of Functions!
Explore your understanding of functions with this engaging properties of functions quiz focusing on their essential properties. The quiz comprises ten easy questions designed to test your knowledge of various aspects of functions. From domains and ranges to compositions and symmetry, these questions cover key concepts that form the foundation of function theory.
In this quiz, you'll encounter questions about the properties of functions, such as identifying true statements about domains, recognizing identical functions, determining ranges, and understanding symmetry. The questions are multiple-choice, allowing you to choose from four options for each. After attempting the quiz, you can review your Read moreanswers and read short explanations to solidify your understanding of the correct concepts.
Whether you're a student aiming to reinforce your learning or an enthusiast seeking to sharpen your math skills, the Properties of Functions Quiz offers an excellent opportunity to grasp fundamental principles in a fun and interactive way.
- 1.
Which of the following is true about the domain of a function?
- A.
It can be empty.
- B.
It must be positive.
- C.
It must be whole numbers.
- D.
It is always negative.
Correct Answer
A. It can be empty.Explanation
The domain of a function can indeed be an empty set. This can happen when there are no valid inputs for which the function produces an outputRate this question:
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- 2.
If two functions have the same domain and their outputs are equal for every input, they are called:
- A.
Inverse functions
- B.
Identical functions
- C.
Parallel functions
- D.
Composite functions
Correct Answer
B. Identical functionsExplanation
If two functions have the same outputs for every input, they are considered identical functionsRate this question:
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- 3.
Find the range of the following function f(x) = 2x + 3?
- A.
All real numbers
- B.
Positive real numbers
- C.
Negative real numbers
- D.
Integers
Correct Answer
A. All real numbersExplanation
The function f(x) = 2x + 3 is a linear function, and its range encompasses all real numbersRate this question:
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- 4.
If a function passes the horizontal line test, it means:
- A.
It's a linear function.
- B.
It's a one-to-one function.
- C.
It's an odd function.
- D.
It's not a polynomial.
Correct Answer
B. It's a one-to-one function.Explanation
Passing the horizontal line test indicates that the function is one-to-one, meaning that each input maps to a unique outputRate this question:
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- 5.
The composition of two functions f and g is denoted by:
- A.
F(x) * g(x)
- B.
F(g(x))
- C.
F / g
- D.
F + g
Correct Answer
B. F(g(x))Explanation
The composition of two functions f and g is denoted by f(g(x)), which means applying the function g first and then applying f to the resultRate this question:
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- 6.
The function f(x) = x^2 is:
- A.
Linear
- B.
Odd
- C.
Even
- D.
Constant
Correct Answer
C. EvenExplanation
The function f(x) = x^2 is an even function because it is symmetric about the y-axis.Rate this question:
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- 7.
If f(x) = 3x + 2 and g(x) = x - 5, what is (f ∘ g)(x)?
- A.
2x - 3
- B.
4x - 3
- C.
3x - 7
- D.
3x - 3
Correct Answer
C. 3x - 7Explanation
The composition (f ∘ g)(x) means applying function g first and then applying f In this case, it results in 3x - 7.Rate this question:
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- 8.
The point where a function intersects the y-axis is called the:
- A.
Origin
- B.
Vertex
- C.
Focus
- D.
Y-intercept
Correct Answer
D. Y-interceptExplanation
The point where a function intersects the y-axis is known as the y-intercept.Rate this question:
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- 9.
If x is a set that contains an integer which is neither negative nor positive then the set x is
- A.
Empty
- B.
Non-empty
- C.
Finite
- D.
Both Non- empty and Finite
Correct Answer
D. Both Non- empty and FiniteExplanation
The non-empty and finite set is set {0}.Rate this question:
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- 10.
The vertical line test is used to determine:
- A.
If a function is odd or even
- B.
If a function is continuous
- C.
If a function has a vertical asymptote
- D.
If a relation is a function
Correct Answer
D. If a relation is a functionExplanation
The vertical line test is used to determine whether a relation is a function. If any vertical line intersects the graph of the relation in more than one point, the relation is not a function.Rate this question:
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Quiz Review Timeline +
Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.
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Current Version
-
Aug 18, 2023Quiz Edited by
ProProfs Editorial Team -
Aug 18, 2023Quiz Created by
Surajit Dey
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