Practice identifying the domain and range of functions and interpreting graphs, tables, and equations.
Read each problem carefully. Determine the domain, range, or graph feature requested. Show your work and explain your reasoning when needed.
Finding domain and range from equations, graphs, and tables
Math - Grade 9-12
- 1
Find the domain and range of the function y = 2x + 5.
- 2
Find the domain of the function y = 1 / (x - 4).
- 3
Find the domain of the function y = square root of (x + 7).
- 4
Find the range of the function y = x^2 - 9.
- 5
A function has the set of ordered pairs {(1, 3), (2, 5), (4, 5), (7, -1)}. State the domain and range.
- 6
The table below shows a function: x-values: -2, 0, 3, 5 and y-values: 4, 1, 4, 9. State the domain and range.
- 7
Determine whether the relation {(0, 2), (1, 4), (1, 5), (3, 7)} is a function. Explain your answer.
- 8
Find the domain of the function y = square root of (5 - x).
- 9
Find the range of the function y = absolute value of x + 2.
- 10
A graph is a parabola opening upward with vertex at (3, -4). State the domain and range.
- 11
A graph is a horizontal line at y = -6. State the domain and range.
- 12
Find the domain of the function y = (x + 1) / (x^2 - 9).
- 13
Find the range of the function y = -x^2 + 1.
- 14
A graph begins at the point (2, 1) and continues to the right and upward like a square root graph. State the domain and range.
- 15
Write a possible function that has domain x greater than or equal to 0 and range y greater than or equal to -5.