Question

Use the function f(x)=-1|x-4|+3 and an initial value of 1.5. Find the last two iterations and make sure that you show all your work/steps.

Answer 1

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Answer:

• f²(1.5) = -0.5
• f³(1.5) = -1.5

Explanation:

`f^2(1.5)=f(f(1.5)) = -1|0.5 -4|+3\\\\=-1|-3.5|+3\\\\=-1(3.5)+3\\\\=\boxed{-0.5}\\\\f^3(1.5)=f(f^2(1.5))=-1|-0.5-4|+3\\\\=-1|-4.5|+3\\\\=-1(4.5)+3\\\\=\boxed{-1.5}`