Evaluate Piecewise-Defined Function....2

[mathdad]

The following function is a piecewise-defined function.

y = | x | if -4 ≤ x < 0...upper piece

y = x^2 if 0 ≤ x < 1...middle piece

y = 1/x if 1 ≤ x ≤ 4...bottom piece

Evaluate when x = 3, x = -4 and x = 1/2.

For x = 3, use bottom piece.

y = 1/3

For x = -4, use upper piece.

y = | -4 |

y = 4

For x = 1/2, use middle piece

y = (1/2)^2

y = 1/4

Correct?

 

[Evgeny.Makarov]

Yes, correct.

 

[mathdad]

Great. Another pad on the back for me. It feels good to get the right answer. Believe it or not, not too many people can handle precalculus. Some people add 1/2 + 3/4 and call themselves a mathematician. If they only knew that math extends beyond elementary school fractions, I think the title of mathematician would go into the toilet.