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Name: _________________________________________ Per: _______Date: ___________________ WORKSHEET – DOMAINS AND RANGES OF RELATIONS AND FUNCTIONS Part 1 – Identify Domains, Ranges, and Functions. Identify the domain and range of each relation given below. Then determine if the relation represents a function. Record your answers in the appropriate spaces provided for each problem. 1. {(2, 3), (-1, 5), (0, -1), (3, 5), (5, 0)} Domain: ___________________________ Range: ____________________________ Function: 2. yes no x 2 4 5 9 y -2 0 2 4 3. x -3 1 3 5 y 0 1 2 3 Domain: _________________________ Domain: ____________________________ Range: __________________________ Range: _____________________________ Function: Function: yes no 4. yes no 5. Domain: _________________________ Domain: ____________________________ Range: __________________________ Range: _____________________________ Function: Function: yes no yes no Function Concepts/WS Intro to Relations and Functions Name: _________________________________________ Per: _______Date: ___________________ Part 2 – Different Representations. Read each problem carefully and perform the indicated task. Also, for each problem, determine if the relation given represents a function and record your answers in the appropriate spaces provided for each problem. 6. Rewrite the relation given to the right as a set of ordered pairs. Answer: _________________________________________ Function: yes no 7. Graph the relation given below on the coordinate plane to the right. x y Function: -5 -4 yes -4 -2 -3 -1 0 0 3 -1 4 -2 5 -4 no 8. Construct a mapping diagram in the space below to represent the following set of ordered pairs. (2, -1), (3, 2), (5, 4), (3, -1), (6, 5) Mapping diagram: Function: yes no 9. Create a table that is equivalent to the relation graphed on the coordinate plane to the right. Table: Function: yes no Function Concepts/WS Intro to Relations and Functions Name: Date: Function Tables Directions: Complete the following tables. If the x value is given, evaluate the function to find y. If y is given, work backwards to find x. If there is no value for x or y, use your own value for x to find y. SHOW ALL WORK! 1. 3. f (x) = x +1 X Work Y f (x) = 2x − 3 X 8 -2 -1 -1 2 0 0 1 2. 4. f (x) = 3x X Work Y Work Y f (x) = x² + 2 X 0 4 1 2 2 0 3 -2 Work Y 5. X x f (x) = +1 2 Work 8. f (x) = x³ − 2 X Y Work Y 0 2 4 f (x) = x 1 6. X Work f (x) = x 1 9. Y X Work Y 5 -1 1 0 7. X x f (x) = 2 1 Work 10. Y X 0 -3 1 0 2 3 3 f (x) = x 3 Work Y