Domain, Range, and End Behavior Worksheet
Explore domain, range, and end behavior of various functions with this comprehensive worksheet for Grade 10 math students.
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Domain, Range, and End Behavior
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Date:
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Read each question carefully and provide the best answer. Show all your work for full credit.
1. For the function shown in the graph below, determine the domain and range.
Domain:
Range:
2. The domain of the function f(x) = √(x - 3) is .
3. The range of the function g(x) = x² + 1 is .
4. For the function h(x) = 1/(x + 2), the values of x that are not in the domain are .
5. What is the end behavior of the function f(x) = -x³ + 2x² - 5?
As x → ∞, f(x) → ∞; As x → -∞, f(x) → ∞
As x → ∞, f(x) → -∞; As x → -∞, f(x) → -∞
As x → ∞, f(x) → -∞; As x → -∞, f(x) → ∞
As x → ∞, f(x) → ∞; As x → -∞, f(x) → -∞
6. The domain of a polynomial function is always all real numbers.
True
False
7. Consider the function f(x) = (x - 1) / (x + 3).
a) State the domain of f(x).
b) Describe the end behavior of f(x) as x approaches positive and negative infinity.
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