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Questions and Answers
What defines an even function?
What defines an even function?
- The graph is symmetric about the origin.
- The function changes signs at x = 0.
- f(-x) = -f(x) for all x in its domain.
- f(x) = f(-x) for all x in its domain. (correct)
Which of the following transformations represents a vertical shift of a function f(x) upwards by 3 units?
Which of the following transformations represents a vertical shift of a function f(x) upwards by 3 units?
- f(x) + 3 (correct)
- 3f(x)
- f(3x)
- f(x) - 3
If f(x) is defined only for x ≥ 0, what can be said about its domain?
If f(x) is defined only for x ≥ 0, what can be said about its domain?
- The domain is limited to integers only.
- The domain includes all real numbers.
- The domain is the set of positive real numbers.
- The domain is limited to non-negative real numbers. (correct)
What is the range of the function f(x) = x^2?
What is the range of the function f(x) = x^2?
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Which of the following statements about composite functions is true?
Which of the following statements about composite functions is true?
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