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These sample problems below for Domain and Range were generated by the MathScore.com engine.

Sample Problems For Domain and Range


Complexity=1, Mode=ordpair

Find the domain and range. Give answers in ascending order. Example: {-2, 1, 5} but not {1, -2, 5}
1.   { (0, 3), (2, 13), (-2, -2), (6, 13) } Domain: Range:
2.   { (1, 7), (-2, 2), (2, 4), (9, 9) } Domain: Range:

Complexity=1, Mode=graph

Find the domain and range. For ∞, use "inf". Example: Use (-inf, inf) for (-∞, ∞)
1.  

Domain: Range:
2.  

Domain: Range:

Complexity=1, Mode=exp

Find the domain and range. For ∞, use "inf". Example: Use (-inf, inf) for (-∞, ∞)
For the union symbol ∪, use capital "U".
1.   f(x) = √-2x + 10 Domain: Range:
2.  
f(x) = -1
x-3
Domain:

Answers


Complexity=1, Mode=ordpair

Find the domain and range. Give answers in ascending order. Example: {-2, 1, 5} but not {1, -2, 5}
#ProblemCorrect AnswerYour Answer
1{ (0, 3), (2, 13), (-2, -2), (6, 13) } Domain: Range:
#ProblemCorrect AnswerYour Answer
2{ (1, 7), (-2, 2), (2, 4), (9, 9) } Domain: Range:

Complexity=1, Mode=graph

Find the domain and range. For ∞, use "inf". Example: Use (-inf, inf) for (-∞, ∞)
#ProblemCorrect AnswerYour Answer
1

Domain: Range:
#ProblemCorrect AnswerYour Answer
2

Domain: Range:

Complexity=1, Mode=exp

Find the domain and range. For ∞, use "inf". Example: Use (-inf, inf) for (-∞, ∞)
For the union symbol ∪, use capital "U".
#ProblemCorrect AnswerYour Answer
1f(x) = √-2x + 10 Domain: Range:
Solution
For square roots, the expression under the radical must be greater or equal to zero.
Set the expression greater or equal to 0 and solve:
-2x + 100
102x
5x
The domain contains all values of x where 5 ≥ x.

Square roots are greater or equal to zero.
So the range contains all values of f(x) where f(x) ≥ 0.

#ProblemCorrect AnswerYour Answer
2
f(x) = -1
x-3
Domain:
Solution
Division by 0 is not allowed. So any value of x that makes the denominator equal to 0 cannot be in the domain.
Set the denominator equal to 0 and solve:
x-3=0
x=3
The domain contains all values of x except 3.

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