Domain and Range Sample Problems

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

Complexity=1, Mode=ordpair

Find the domain and range. Give answers in ascending order. Example: {-2, 1, 5} but not {1, -2, 5}

#	Problem	Correct Answer	Your Answer
1	{ (0, 3), (2, 13), (-2, -2), (6, 13) }	Domain: Range:

#	Problem	Correct Answer	Your 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 (-∞, ∞)

#	Problem	Correct Answer	Your Answer
1		Domain: Range:

#	Problem	Correct Answer	Your 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".

Problem

Correct Answer

Your Answer

f(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 + 10	≥	0
10	≥	2x
5	≥	x

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.

Problem

Correct Answer

Your Answer

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

Sample Problems For Domain and Range

Complexity=1, Mode=ordpair

Complexity=1, Mode=graph

Complexity=1, Mode=exp

Answers

Complexity=1, Mode=ordpair

Complexity=1, Mode=graph

Complexity=1, Mode=exp