Answer :
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
Answer:
The value for f(-4) in the piecewise function is -1
Step-by-step explanation:
As the function is defined by pieces we must choose the correct interval when replacing. In this case, the value of the function needs to be calculated in x=4.
This value of x is within the interval:
-5<=x<=-2
Therefore we replaced in the corresponding expression:
f(x)=-x-5
f(-4)=-(-4)-5=-1
Take into account this case is not particularly a function since, for example, in the value of x=-2 the expression can take two values corresponding to two different pieces. The obtained result is only valid in the range for -5<=x<=-2.
