Question 1040558
.
I know how to graph and substitute but I just can't figure out this "if" statements, I have no clue on what to do here:

Let h be the function which is the set of all ordered pairs (x,y) such that: 
Y= x+5 if x ≤ - 3
Y= √9-x^2 if -3 ≤ x ≤ 3
Y= 5-x if {{{highlight(x > 3)}}}        &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;( <--- notice I fixed your typo in this point! )

I tried solving the first one, I used -4,-5,-6,-7,-8 as my x (assuming that I'm correct with the "if" part) 
I computed it and y became -1,0,-1,-2,-3. Is this correct?

Also with number 2 , I have no idea how to do that one. Please help me.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


<pre>
1.  You are absolutely right with your calculations for -4, -5, -6, -7, -8.

2.  Let's consider x = 2.
    You should look in which of the three intervals lies this number.
    "2" lies between -3 and 3, correct?

    Hence, f(x) = {{{sqrt(9-x^2)}}} = {{{sqrt(9-(-2)^2)}}} = {{{sqrt(9-4)}}} = {{{sqrt(5)}}}.

3.  All other cases are subject of the same logic.
</pre>