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

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) = -1x-3
Domain:

### 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".
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 + 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.