For the following piece wise functions, evaluate for the given value of x

Question

f(x)={−x−4,x<−4

2,−4≤x≤1

−x+1,x>1

Evaluate the function when x=−4.

f(−4)=

Evaluate the function when x=3.

f(3)=

Answer 1

If x = -4, f(x) is defined by 2,−4≤x≤1. Hence f(-4) = 2.

If x = 3, f(x) is defined by −x+1,x>1. Hence f(3) = -(3)+1 = -2.

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