MHB Evaluate Piecewise-Defined Function....1

[mathdad]

The following function is a piecewise-defined function.

y = -x^2 if -2 < x ≤ 0...upper piece
y = x/2 if 0 < x ≤ 4.. bottom piece

Evaluate when x = 0 and x = 4.

Solution:

For x = 0, we evaluate the upper piece.

y = -(0)^2

y = 0

For x = 4, we evaluate the bottom piece.

y = 4/2

y = 2

Is this correct?

 

[Evgeny.Makarov]

Yes, this is correct.

 

[mathdad]

It feels good to be correct. More questions will be posted tomorrow as I travel through David Cohen's precalculus textbook.