RELATIONS AND FUNCTIONS: DEFINITIONS

1. domain 2. function 3. input 4. output 5. range 6. relation

2. a relation in which every input value has exactly one output value. 6. any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane. 4. the y-value of a function. 1. the first element of a relation or function; also known as the input value. 3. the x-value of a function. 5. the second element of a relation or function; also known as the output value.

Select either relation (if the set is a relation but not a function), function (if the set is both a relation and a function), or neither (if the set is not a relation). A = {(1, 2) (2, 2) (3, 2) (4, 2)}

function

Which of the following statements best represents the relationship between a relation and a function.

A function is always a relation but a relation is not always a function.

Select the domain and range of F. F = {(x, y ) | x + y = 10}.

Domain: All real numbers Range: All real numbers

Select either relation (if the set is a relation but not a function), function (if the set is both a relation and a function), or neither (if the set is not a relation). F = {(x, y ) | x + y = 10}

function

1. the domain set of C = {( 2, 5), (2, 6), (2, 7)} 2. the range set of E = {(3, 3), (4, 4), (5, 5), (6, 6)} 3. the range and domain of F = {(x, y ) | x + y =10} 4. the range and domain of P = {(x, y) | y = 3}

1. {2} 2. {3, 4, 5, 6} 3. domain = range = {all real numbers} 4. domain = {all real numbers}: range = {y: y = 3}

If the relation is a function, list the domain and range. If the relation is not a function, choose "not a function". C = {(9, 1) (8, -3) (7, 5) (-5, 3)}

Domain: {9, 8, 7, -5} Range: {1, -3, 5, 3}

*

The domain and range can be listed in the order the numbers are given or can be rearranged numerically, lowest number to highest number. It is not necessary to list repeated numbers.

Select either relation (if the set is a relation but not a function), function (if the set is both a relation and a function), or neither (if the set is not a relation). input -1 0 -1 -8 9 output 0 1 2 4 8

relation