Domain and Range Quiz
Questions: 16 · 10 minutes
1. An inverse relation is created by swapping the coordinates in every ordered pair. What does the domain of the original relation become?
The set excluded from the inverse relation
The domain of the inverse relation
The overlap between the inverse domain and range
The range of the inverse relation
2. For real values of x, which inputs are permitted by p(x) = √(5 - x)?
Values greater than or equal to 5
Values strictly less than 5
Values less than or equal to 5
Every value other than 5
3. A parabola has vertex (2, -3) and opens upward. What is its range?
All real numbers less than or equal to -3
All real numbers greater than or equal to 2
All real numbers less than or equal to 2
All real numbers greater than or equal to -3
4. Consider the relation {(1, 4), (2, 6), (5, 4)}. What is its range?
{1, 2, 5}
{1, 2, 4, 5, 6}
{4, 6}
{4, 4, 6}
5. Consider the relation {(-2, 5), (0, 5), (3, -1)}. What is its domain?
{-2, 0, 3}
{-2, -1, 0, 3, 5}
{-1, 5}
{-2, 3}
6. A mapping sends input a to both 1 and 2, while input b is sent to 3. Why is this relation not a function?
One input is paired with more than one output
Different inputs are paired with different outputs
The inputs are represented by letters rather than numbers
The range has more elements than the domain
7. If f(x) = -3x + 7 has all real numbers as its domain, what is its range?
Outputs greater than or equal to 7
All real output values
Outputs less than or equal to 7
All real outputs except 7
8. A venue models ticket cost by C(n) = 12n, where n is the number of tickets. A customer may buy at most eight tickets, and buying zero is allowed. What is the domain?
{0, 1, 2, 3, 4, 5, 6, 7, 8}
Every real number from 0 through 8
The positive whole numbers from 1 through 8
{0, 12, 24, 36, 48, 60, 72, 84, 96}
9. A school-club relation is {(Ana, Chess), (Ben, Drama), (Ana, Robotics)}. Which set is its domain?
{Chess, Drama, Robotics}
{Ana, Ben}
{Ana}
{Ana, Ben, Chess, Drama, Robotics}
10. What is the range of q(x) = |x| + 2 when its domain is all real numbers?
Every real output is possible
Outputs cannot be greater than 2
Outputs must be strictly greater than 2
Outputs are 2 or greater
11. When a relation is written as ordered pairs, which values form its domain?
The second coordinate from each pair
The first coordinate from each pair
Only coordinates that appear in both positions
Every number used anywhere in the relation
12. A table pairs x-values -2, 0, 3, and 5 with y-values 1, 1, 4, and 4, respectively. Does the table represent a function?
No, because each output must occur only once
No, because two pairs share an output value
Yes, because every input is paired with exactly one output
Yes, because every output is paired with exactly one input
13. For real values of x, what is the domain of f(x) = √(x - 2)?
Real numbers less than or equal to 2
Real numbers strictly greater than 2
Real numbers greater than or equal to 2
Every real number without restriction
14. Which set is the domain of g(x) = 1/(x + 3)?
All real numbers except positive 3
All real numbers except negative 3
Real numbers greater than or equal to negative 3
Real numbers strictly less than negative 3
15. The function h(x) = x² is restricted to the domain {-2, 0, 3}. What is its range?
{-2, 0, 3}
{0, 2, 3}
{0, 4, 6, 9}
{0, 4, 9}
16. A relation describes permitted inputs and the outputs they produce. What does its range contain?
All outputs produced by the relation
All inputs accepted by the relation
Only inputs paired with positive outputs
The number of input-output pairs listed