Your SlideShare is downloading. ×
0
CHAPTER 2: FUNCTIONS,EQUATIONS, AND GRAPHS2.1 Relations and Graphs
RELATIONS   A relation is a set of pairs of input and output values.     There   are four ways to represent relations
EXAMPLE: REPRESENTINGRELATIONS   The monthly average water temperature of the    Gulf of Mexico in Key West, Florida vari...
DEFINITIONS The domain of a relation is the set of inputs,  also called the x-coordinates, of the ordered pairs. The ran...
EXAMPLE: FIND THE DOMAINAND RANGE OF EACH.
FUNCTIONS   A function is a relation in which each element of    the domain corresponds to exactly one element of    the ...
EXAMPLE: IS THE RELATIONA FUNCTION?
THE VERTICAL LINE TEST   The vertical line test is used to test whether a    graph represents a function.   The vertical...
EXAMPLE: USE THE VERTICALLINE TEST. WHICH GRAPH(S)REPRESENTS A FUNCTION?
FUNCTIONS   A function rule is an equation that represents    an output value in terms of an input value.     We   write...
EXAMPLE: USING FUNCTIONNOTATION   For   f ( x ) = −2 x, + 5   what is the output for                       1    the input...
EXAMPLE: USING FUNCTIONNOTATION   For   f ( x ) = −4 x + 1   ,what is the output for    the inputs:   −2,0,5
EXAMPLE:   Tickets to a concert are available online for $35 each    plus a handling fee of $2.50. The total cost is a   ...
EXAMPLE   You are buying bottles of a sports drink for a    softball team. Each bottle costs $1.19. What    function rule...
Upcoming SlideShare
Loading in...5
×

2.1

380

Published on

0 Comments
1 Like
Statistics
Notes
  • Be the first to comment

No Downloads
Views
Total Views
380
On Slideshare
0
From Embeds
0
Number of Embeds
2
Actions
Shares
0
Downloads
7
Comments
0
Likes
1
Embeds 0
No embeds

No notes for slide
  • January = 1 February = 2
  • Can Skip depending on Time
  • C(t)=35t+2.50
  • Transcript of "2.1"

    1. 1. CHAPTER 2: FUNCTIONS,EQUATIONS, AND GRAPHS2.1 Relations and Graphs
    2. 2. RELATIONS A relation is a set of pairs of input and output values.  There are four ways to represent relations
    3. 3. EXAMPLE: REPRESENTINGRELATIONS The monthly average water temperature of the Gulf of Mexico in Key West, Florida varies during the year. In January, the average water temperature is 69°F, in February, 70°F, in March, 75°F and in April, 78°F. What is one way to represent this relation?
    4. 4. DEFINITIONS The domain of a relation is the set of inputs, also called the x-coordinates, of the ordered pairs. The range is the set of outputs, also called the y- coordinates, of the ordered pairs.
    5. 5. EXAMPLE: FIND THE DOMAINAND RANGE OF EACH.
    6. 6. FUNCTIONS A function is a relation in which each element of the domain corresponds to exactly one element of the range.  When using a mapping diagram to represent a relation, a function has only one arrow from each element of the domain.  Example:
    7. 7. EXAMPLE: IS THE RELATIONA FUNCTION?
    8. 8. THE VERTICAL LINE TEST The vertical line test is used to test whether a graph represents a function. The vertical line test states that if any vertical line passes through more than one point on the graph of a relation, then the relation is not a function.
    9. 9. EXAMPLE: USE THE VERTICALLINE TEST. WHICH GRAPH(S)REPRESENTS A FUNCTION?
    10. 10. FUNCTIONS A function rule is an equation that represents an output value in terms of an input value.  We write a function rule in function notation.
    11. 11. EXAMPLE: USING FUNCTIONNOTATION For f ( x ) = −2 x, + 5 what is the output for 1 the inputs: −3,0,& 4
    12. 12. EXAMPLE: USING FUNCTIONNOTATION For f ( x ) = −4 x + 1 ,what is the output for the inputs: −2,0,5
    13. 13. EXAMPLE: Tickets to a concert are available online for $35 each plus a handling fee of $2.50. The total cost is a function of the number of tickets bought. What function rule models the cost of the concert tickets? Evaluate the function for 4 tickets.
    14. 14. EXAMPLE You are buying bottles of a sports drink for a softball team. Each bottle costs $1.19. What function rule models the cost of a purchase. Evaluate the function for 15 bottles.
    1. A particular slide catching your eye?

      Clipping is a handy way to collect important slides you want to go back to later.

    ×