relations & functions assignment

explain why a graph that fails the vertical-line test does not represent a function. be sure to use the definition of function in your answer.

if a vertical line intersects a graph more than once, then the graph has more than one y-value for a given x-value. you cant have two y-values for an x-value in a function. therefore, the graph is not a function.

(-3, 5), (-1, 2), (1, -1), (-1, 4) the table above

not a function

use the drop down menu to label the graph according to its type (two opposite non linear functions)

one to one function

check each graph below that represents a function

a, b, c

the relation R is shown in the table below

domain: -3, -1, 1 range: -1, 2, 4, 5

complete the inequality for the domain complete the inequality to describe the range

domain: -4<=x<=4 range: -2<=y<=5

the relation Q is described as a list of ordered pairs shown below

domian: -2, -1, 0, 4 range: -2, 2, 3, 4

(-2, 4), (0, 2), (-1, 3), (2, -2) the set of ordered pairs above

function

(-3, 3), (4, 7), (-1, -2), (5, -2) the mapping diagram above

function

y=x^4

function

the relation R is shown below as a list of ordered pairs R= (1, 4), (1, 3), (-1, 3), (2, 15) which ordered pairs prevent this relation from being a function

(1, 4) & (1, 3), because they have the same x-value

Suppose that you could replace the ordered pair (1, 4) to make the relation R (shown left) into a function. Which ordered pair would work?

(4, 15)

think about the function f(x)=3-2x what doesthe notation f(0) mean? f(0)= ? what is the special name of f(0)?

the output (y-value) when x=0 3 the y-intercept

what is the domain of the relation? what is the range of the relation? is the relation a function?

-4<=x<=6 -4<=y<=4 yes

a jeweler orders necklaces from a website that offers $6 shipping for any-size order. each necklace costs $7. the jeweler wants to know the total cost of ordering n necklaces. 1. what is the independent (input) variable? 2. what is the dependent (output) variable? 3. what is the domain? 4. which equation expresses the order's total cost, c, as a function of the number of necklaces, n? 5. which expression means "the total cost, including shipping, of 5 necklaces"?

1. n, the number of necklaces 2. c, the total cost ( in dollars) 3. n= 0, 1, 2, 3,... 4. c(n)= 7n+6 5. c(5)

domain: the set of all states range: the set of all senators (remember each state has two senators) 1. this relation is create your own real-world example of a relation that is a function 2. domain: the set of ___ 3. range: the set of ___ 4. explain why your relation is a function

1. not a function 2. all states 3. all capital 4. because every state only has one capital

use the drop down menu to label the graph according to its type (sideways v graph)

relation (but not a function)