Domain, Range, and End Behavior Worksheet
Explore domain, range, and end behavior of various functions with this comprehensive worksheet for Grade 9 students.
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Domain, Range, and End Behavior
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Read each question carefully and provide the best answer. Show all your work where applicable.
1. For the function shown in the graph below, determine the domain and range.
Domain:
Range:
2. Complete the statements describing the end behavior for the given functions:
a) For f(x) = x², as x → ∞, f(x) → . As x → -∞, f(x) → .
b) For g(x) = -x³, as x → ∞, g(x) → . As x → -∞, g(x) → .
3. Which of the following functions has a domain of all real numbers?
f(x) = √(x - 2)
g(x) = 1/x
h(x) = |x|
k(x) = log(x)
4. Consider the function y = -2x + 5.
a) What is the domain of this function?
b) What is the range of this function?
c) Describe the end behavior of this function as x approaches positive and negative infinity.
5. Determine if the following statements are true or false:
a) The range of the function f(x) = x² is [0, ∞).
True
False
b) For an exponential function f(x) = a^x (where a > 1), as x → -∞, f(x) → 0.
True
False