Domain and Range Lesson 2 2 Definition of

Domain and Range Lesson 2. 2

Definition of Domain and Range � Domain: The set of all possible x values (input). �“What are all of the inputs that a function or relation is defined for? ” � Range: The set of all possible y values (output). �“Given the inputs, what are all of the possible outputs that this relation could give us? ” {(2, 3), (3, 2), (4, 0), (5, 1)} � Domain: {2, 3, 4, 5} � Range: {0, 1, 2, 3} {(2, 3), (5, 7), (4, 0), (2, 3)} � Domain: {2, 4, 5} � Range: {0, 3, 7}

State the domain and range. x y -1 -1 -1 2 3 4 5 6 -1 -1 -1 Domain: {-1} Range: {2, 3, 4, 5, 6} Domain: {2, 3, 4, 5, 6} Range: {-1}

State the domain and range. Domain: {-2, -1, 1, 2, 3} Range: {-3, -2, 1, 3}

Domain: -3. 5 x 3. 5 Process: 1. Remember definition: • Set of all possible x values 2. Move finger along x axis (from left to right). Does the graph ever stop? 3. If yes, write limit as domain. If no, domain is ALL REAL NUMBERS. Domain: All real numbers (unbounded)

State the domain: Domain: All real numbers (unbounded)

Range Process: 1. Remember definition: • Set of all possible y values 2. Move finger along y axis (up and down). Does the graph ever stop? 3. If yes, write limit as range. If no, range is ALL REAL NUMBERS.

State the range: Range: All real numbers (unbounded)

Common Errors x y -3 -2 -1 9 4 1 0 1 2 3 0 1 4 9 � Never make assumptions with Domain and Range!!