SOLUTION: for each piecewise function, find the specified function values f(x)= 3 for x <= -2 (1/2)x + 6 for x > -2 f(-5),f(-2),f(0), f(2) <= means less th

Question 633336: for each piecewise function, find the specified function values
f(x)= 3 for x <= -2
(1/2)x + 6 for x > -2
f(-5),f(-2),f(0), f(2)
<= means less than or equal to. i wasnt sure how to do the sign
for the second equation i (think) that i make for example -5 for x. not sure on first one
thanks
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Good job with the definition of the function. The <= , and the (1/2)x make me pretty sure that I understand what you mean.
As I understand, the function is defined in pieces:
for and
for
and you need to calculate the value of
for , , and .

, and are in the first part of the domain,
the part where .
In that part, , so
and

, and are in the other part of the domain,
the part where .
In that part, , so we enter the x value into to calculate the values:
For , so
For , so

The problem does not ask for a graph, but I like to draw these pictures.
The graph of that piecewise function looks like this:
I drew the function in blue and put green circles around the 4 points (x,f(x)) that we calculated.
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