Grade 11 Domain and Range Worksheets
Start with eight focused practice problems, then use the answer key below to check the worksheet.
Practice Worksheet
Grade 11 Domain and Range Practice
Solve each problem. Show your work.
- 1.State the domain and range of f(x) = -(x - 2)^2 + 1.
- 2.State the domain and range of f(x) = (x + 5)^2.
- 3.State the domain and range of f(x) = (x - 3)^2 - 8.
- 4.State the domain and range of f(x) = -(x + 3)^2 - 5.
- 5.State the domain and range of f(x) = -(x + 1)^2.
- 6.State the domain and range of f(x) = -(x + 1)^2 + 3.
- 7.State the domain and range of f(x) = -(x - 3)^2 - 7.
- 8.State the domain and range of f(x) = -(x - 3)^2 - 4.
Show answer key
- Question 1: Domain: all real numbers; Range: y <= 1
- Question 2: Domain: all real numbers; Range: y >= 0
- Question 3: Domain: all real numbers; Range: y >= -8
- Question 4: Domain: all real numbers; Range: y <= -5
- Question 5: Domain: all real numbers; Range: y <= 0
- Question 6: Domain: all real numbers; Range: y <= 3
- Question 7: Domain: all real numbers; Range: y <= -7
- Question 8: Domain: all real numbers; Range: y <= -4
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About These Worksheets
Grade 11 students determine domain and range across graphical, algebraic, numerical, and contextual representations of functions.
Domain and range worksheets help Grade 11 students describe what input values a function can accept and what output values it can produce. This is a major shift from simply evaluating expressions: students now analyze restrictions from graphs, equations, and real-world contexts. A denominator cannot be zero, a square root cannot have a negative radicand in the real-number system, and a context may restrict values even when the algebra does not.
These worksheets include interval notation, set notation, graphs, tables, quadratic functions, radical functions, and rational functions. Students practise reading endpoints, open and closed circles, asymptotes, maximums, and minimums. Domain and range are foundational for inverse functions, transformations, and function modelling because they describe the boundaries of a relationship before any solving begins.
Skills Practised
- Identifying domain and range from graphs
- Finding algebraic restrictions in functions
- Using interval and set notation
- Interpreting endpoints, asymptotes, and maximums
- Applying contextual restrictions to real-world functions
Parent Tip: Domain and range notation can be difficult for parents to verify. Use the answer key, then use photo checking if your teen needs feedback on brackets, endpoints, or restrictions.