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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.5: Graphs Of Functions

Problem 48E

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Every time a function is composed with itself, it is called
an iteration. Iterations can be noted using a superscript.
Function compositions can create iterations as well.
after many
<-----EXAMPLE
3. Your turn! Find the first 3 iterations of
g(x) = −1|x − 2| + 3 if you have an initial value of 0.5.
Fill in the table below with your answers.
Iterations
Your Work
Answer
g(0.5)
g² (0.5)
g³ (0.5)
F11
MacBook Air
F6
F7
F8
F9
F10
F12

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