1 - University of Arizona



1. [pic] 2. [pic]

amplitude 2 amplitude NONE

period (/2 period (/2

horizontal shift to the left ( units horizontal shift to the right by (/2 units

vertical shift down 1 unit vertical shift down 2 units

average value -1 average value-2

graph check in your calculator graph –check in calc, label where ave value occurs and where

make sure you appropriately label the vertical asymptotes are

each axis (x values where min, max, ave val occur)

3.

[pic]

Find a possible sine equation Find a possible cosine equation

[pic] [pic]

4. For each table, find a possible equation for f(x).

|x |1 |3 |5 |7 |9 |

|f(x) |3 |1 |3 |5 |3 |

[pic]

|x |-2 |1 |4 |7 |10 |

|f(x) |-5 |-2 |1 |-2 |-5 |

[pic]

|x |1 |3 |5 |7 |9 |

|f(x) |Undef |4 |0 |-4 |undef |

[pic]

5. f(3)=5 is a maximum value, the amplitude is 4 and the period is 6.

Graph the function-check your calculator, label the horizontal and vertical axes indicating max, min, ave value for 1 period

Find the:

Amplitude 4

Minimum value -3

Maximum value 5

Average value 1

Find an equation

[pic] [pic]

Find 3 x values where f(x) is a:

Maximum,

x=3,9,-6

mimimum,

x=6, 12, 18

average value

x=4.5, 7.5, 13.5

Problem 2 from supplementary homework1

a. f(9)=2

b. x=.25, 2.75, 5.25

c. max value is 8

d. x=1.5, 6.5, -3.5

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