Podcast
Play an AI-generated podcast conversation about this lesson
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?
Signup and view all the answers
Which of the following statements about composite functions is true?
Which of the following statements about composite functions is true?
Signup and view all the answers
