Answer:
- <em>See attached</em>
a)
<u>The table:</u>
- <u>x | -3 | -2 | -1 | 0 | 1 | 2 | 3</u>
- y | -5 | -3 | -1 | 1 | 3 | 5 | 7
b)
- The graph is pictured
c)
- The y-intercept has coordinates of (0, 1)
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Via Lagrange multipliers:
So we have four critical points to consider,
. If both coordinates are positive or both are negative, we get a maximum value of 
; otherwise, we get a minimum of 
.
So we have four critical points to consider,