Domain and Range Worksheet
Grade 11 Math worksheet focusing on identifying the domain and range of various functions from graphs, equations, and real-world scenarios.
Includes
Standards
Topics
Domain and Range Review
Name:
Date:
Score:
Read each question carefully and determine the domain and range for the given functions or scenarios. Express your answers using interval notation where appropriate.
1. Determine the domain and range of the function shown in the graph below.
Domain:
Range:
2. Which of the following functions has a domain restriction of x ≠ 3?
f(x) = √(x + 3)
g(x) = 1 / (x - 3)
h(x) = x² + 3
k(x) = |x - 3|
3. For the function f(x) = √(x - 4):
The domain is .
The range is .
4. For the function g(x) = 2 / (x + 1):
The domain is .
The range is .
5. A company manufactures custom t-shirts. The cost C (in dollars) to produce 'x' t-shirts is given by the function C(x) = 50 + 8x. If the company can produce a maximum of 500 t-shirts per day, determine the practical domain and range for this function.
Practical Domain:
Practical Range:
6. The domain of any polynomial function is all real numbers.
True
False
7. For a function f(x) = |x|, the range is all real numbers.
True
False
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