What is the value of f (-4) in the piecewise function f (x) = - x-5 for - 5< = x < = - 2; - x^2+1 for - 2<=x<=2; (x-3) ^2+2 for 2<=x<=4? If that makes any since

Question

Mathematics

Jaime Ballard

24 May, 12:42

What is the value of f (-4) in the piecewise function f (x) = - x-5 for - 5< = x < = - 2; - x^2+1 for - 2<=x<=2; (x-3) ^2+2 for 2<=x<=4? If that makes any since

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Avah Reynolds · Answer 1

We first need to pick the correct piece to use. In this case, we will use f (x) = - x-5 because - 5<=-4.

Then, we use direct substitution:

f (-4) = - (-4) - 5

f (-4) = - 1