Math Practice Online: MathScore.com

Math Practice Online > free > lessons > Minnesota > 9th grade > Domain and Range

If your child needs math practice, click here.

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.

MathScore.com

Copyright Accurate Learning Systems Corporation 2008.
MathScore is a registered trademark.