P-3 Functions and their Graphs

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Presentation transcript:

P-3 Functions and their Graphs In this section we will learn about: Implicit and Explicit forms of equations One-to-one and Onto functions Domain and Range of a Composition of Functions Even and Odd Functions

HW P-2

HW P-2

HW P-2

HW P-2

Today’s agenda Library of Basic Functions packet (optional) Questions about Summer Packet Precalculus Review Circuit Training Homework: due Friday

Homework Assignment P-3a (due Friday) Read pp. 19-26 Be able to do p. 27 # 2, 4, 7, 9, 11, 12, 15, 18, 2, 27, 33, 44, 45, 74. Library of Basic Functions Poster due Monday.

P-3 Functions and their Graphs In this section we will learn about: Implicit and Explicit forms of equations One-to-one and Onto functions Domain and Range of a Composition of Functions Even and Odd Functions

Homework Assignment P-3a Read pp. 19-26 Be able to do p. 27 # 2, 4, 7, 9, 11, 12, 15, 18, 2, 27, 33, 44, 45, 74. Library of Basic Functions Poster due Monday.

p. 27 # 2, 4, 7, 9, 11, 12, 15, 18, 2, 27, 33, 44, 45, 74.

p. 27 # 2, 4, 7, 9, 11, 12, 15, 18, 2, 27, 33, 44, 45, 74.

p. 27 # 2, 4, 7, 9, 11, 12, 15, 18, 2, 27, 33, 44, 45, 74.

p. 27 # 2, 4, 7, 9, 11, 12, 15, 18, 2, 27, 33, 44, 45, 74.

p. 27 # 2, 4, 7, 9, 11, 12, 15, 18, 2, 27, 33, 44, 45, 74.

P-3 Functions and their Graphs In this section we will learn about: Implicit and Explicit forms of equations One-to-one and Onto functions Domain and Range of a Composition of Functions Even and Odd Functions

One-to-one? Onto? Both? Neither? Definition of a Function Each input has only one output. If x1 = x2, then f(x1) = f(x2) “Vertical Line test” Definition of One-to-One Each output has exactly one input “Horizontal Line Test” Definition of “Onto” All possible y-values are used Determine what characteristics are shown by the graphs on p.21 and 22

Domain and range of compositions of functions

input output

input output

Teamwork: p.28 #60, 61, 62,63 60 and 63 62 and 63 61 and 63 62 and 63

Homework Assignment P-3B Read pp. 19-26 Do p. 28 # 47-52, 54, 59, 61, 63, 69, 70, 73, 77, 83. Library of Basic Functions Poster

p. 28 # 47-52, 54, 59, 61, 63, 69, 70, 73, 77, 83.

p. 28 # 47-52, 54, 59, 61, 63, 69, 70, 73, 77, 83.

p. 28 # 47-52, 54, 59, 61, 63, 69, 70, 73, 77, 83.

p. 28 # 47-52, 54, 59, 61, 63, 69, 70, 73, 77, 83.

Functions and transformations Entrance Slip

Write two equations for the transformed graph: 1

Write an equation for the transformed graph: 2

Write an equation for the transformed graph: 3

Write an equation for the transformed graph: 4

Write an equation for the transformed graph: 5

Write an equation for the transformed graph: 6

Write two equations for the transformed graph: 7

Write an equation for the transformed graph: 8

Write an equation for the transformed graph: 9

Write an equation for the transformed graph: 10

Write an equation for the transformed graph: 11

Write an equation for the transformed graph: 12

Write an equation for the transformed graph: 13

Write an equation for the transformed graph: 14

19.Graph the piecewise function:

Write two equations for the transformed graph: 1

Write an equation for the transformed graph: 2

Write an equation for the transformed graph: 3

Write an equation for the transformed graph: 4

Write an equation for the transformed graph: 5

Write an equation for the transformed graph: 6

Write two equations for the transformed graph: 7

Write an equation for the transformed graph: 8

Write an equation for the transformed graph: 9

Write an equation for the transformed graph: 10

Write an equation for the transformed graph: 11

Write an equation for the transformed graph: 12

Write an equation for the transformed graph: 13

Write an equation for the transformed graph: 14

19.Graph the piecewise function:

Assignment: P-3C p.30 #87, 93a, 95-98 p.39 #5, 7, 8, 9