Can anyone shed some light on evaluating a piecewise-defined function below it is asking for 3 answers? Question: Suppose that the function h is defined, for all real numbers, as follows: all of the number are enclosed on one side in one big bracket I can’t draw it. h(x) = {-1/2 x -2 if x ≤ -2 {(x-1)^2 -2 if -2 1 Find the following: h(-3) = ___ h(-2) = ___ h(-1) = ___

Question

Can anyone shed some light on evaluating a piecewise-defined function below it is asking for 3 answers?

Question: Suppose that the function h is defined, for all real numbers, as follows:
all of the number are enclosed on one side in one big bracket I can’t draw it.
h(x) = {-1/2 x -2      if x ≤ -2
           {(x-1)^2 -2    if -2 < x ≤ 1
           {-2                 if x > 1

Find the following:  
h(-3) = ___

h(-2) = ___
 
h(-1) = ___

anonymous · Answer

It just wants you to draw: 
the line -1/2 x -2 for values less than and equal to -2
(x-1)^2 -2 for x values between -2 and 1
and the line y=2 for x greater than 1 
 
=)

h(-3) ..now which region does -3 come in ? -3 <-2?
Yes true!
So the value h(-3) we need is -1/2 (-3) -2 = 3/2 -2 = -1/2

Hope this helps you get started!

anonymous · Answer

Thank you!  Here is your medal!

anonymous · Answer

You are soooo welcome! Glad I was helpful <3