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Name: _______________________________________ Date: _________________________ What is a Function? Homework For #1 – 2, determine whether the following relations are functions using a table, mapping diagram, and the vertical line test. Find the domain and range of each relation. 1) {(−2, 5), (−1, 1), (3, 1), (−1, −2)} Table Mapping Diagram Vertical Line Test y O x Function: Yes or No because _____________________________________________________________________________________ Domain: ___________________________ and Range: ___________________________ 2) {(5,3), (4, 3), (3, 3), (2, 3), (1, 3)} Table Mapping Diagram Vertical Line Test y O x Function: Yes or No because _____________________________________________________________________________________ Domain: ___________________________ and Range: ___________________________ For #3 – 5, determine whether the following are functions. 3) 4) 5) 6) Find the range of the function 𝑦 = −𝑥 ! − 2𝑥 + 4 if the domain is {– 3, 3, 7}. " ! 7) Find the domain of the function 𝑦 = − # 𝑥 − $ if the range is {– 2, 0, 4}.