need to find the following function

label Algebra
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

for g(x)=x^2+2x+2, what is the function' s minimum or maximum value?

Jun 9th, 2015

Thank you for the opportunity to help you with your question!

g(x) = x^2 + 2x +2 is a parabola with the "u" facing up. 

g(0) = 0 + 0 + 2, Point at (0,2)

g(-2) = 4 -4 + 2  Point at (-2,2), So since the y values are the same when x= 0 and x= -2, Minimum would be at x=-1 (in the middle of 0 and -2)

g(-1) 1 - 2 + 2 Vertex (minimum) at (-1, 1)

Just to be sure, add a few other points:

g(1) = 1+ 2 + 2 Point at (1,5)

g(2) = 4 + 4 + 2 Point at (2, 8)

So the minimum value is at x=-1 and y=1

Since it is a parabola, it has no maximum value, (infinity).  Parabolas typically go up the y scale as x gets bigger.


Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 9th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Jun 9th, 2015
...
Jun 9th, 2015
Jun 27th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer