Accuplacer Domain and Range — practice questions

Explore 2 free Domain and Range questions in Accuplacer Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Domain and Range questions and exercises with answers

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A relation is the set of pairs (2, 10), (3, 10), (4, 20) and (5, 30). What is its domain?Read the answer and worked solution →What restriction does an even root place on the domain of a rule?Read the answer and worked solution →

Worked practice questions

A relation is the set of pairs (2, 10), (3, 10), (4, 20) and (5, 30). What is its domain?

The set 10, 10, 20, 30
The set 2, 10, 3, 30
The set 2, 3, 4, 5
The set 4, 5, 20, 30

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Correct answer: C. The set 2, 3, 4, 5

1. The domain of a relation collects its input values. 2. The input value is the first coordinate in each ordered pair. 3. Reading off the first coordinates gives 2, 3, 4 and 5, so that set is the domain. 4. The second coordinates form the range instead. _Source: OpenStax College Algebra (CC BY 4.0), section 3.2 Domain and Range_

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What restriction does an even root place on the domain of a rule?

The radicand cannot be zero
The radicand must be whole
The radicand must be positive
The radicand cannot be negative

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Correct answer: D. The radicand cannot be negative

1. An even root of a negative number is not a real number. 2. So every input that makes the expression under the root negative has to be excluded. 3. Set the radicand greater than or equal to zero and solve to get the domain. 4. A radicand of exactly zero is allowed, since the even root of zero is zero. _Source: OpenStax College Algebra (CC BY 4.0), section 3.2 Domain and Range_