Functions

You may review it by watching these videos Permutations and Combinations and Factorial and/or reading Appendix Section B.3 Functions of the CLRS textbook on pages 1166-1168.

Self-Testing Quizzes

1. Which relation is NOT a function?

{(1,-5), (3,1), (-5,4), (4,-2)} {(2,7), (3,7), (4,7), (5,8)} {(1,-5), (-1,6), (1,5), (6,-3)} {(3,-2), (5,-6), (7,7), (8,8)}

2. All of the \( x \) values or inputs are called what?

Domain Range Relation Function

3. All of the y values or outputs are called what?

Domain Range Relation Function

4. A function is said to be ______________ if and only if f(a) = f(b) implies that a = b for all a and b in the domain of f.

One-to-many One-to-one Many-to-many Many-to-one

5. Find the inverse of g(x) = 2x - 3.

\( g^{-1} (x) = \frac{x}{2} + 3 \) \( g^{-1} (x) = \frac{x+3}{2} \) \( g^{-1} (x) = \frac{x+2}{3} \) \( g^{-1} (x) = \frac{x}{3} + 2 \)

Your grade is: __