SOLUTION: Find the maximum or minimum value of the function f(x) = -x^2/3 + 2x + 7 x = 2/2(-1/3) = 2/(-2/3)= (2/1)(3/2)= 3 maximum (-x^2 + 6x + 21 /3) = ((-x^2 + 6x + 9) + 21 + 9)/3)

Algebra ->  Algebra  -> Functions -> SOLUTION: Find the maximum or minimum value of the function f(x) = -x^2/3 + 2x + 7 x = 2/2(-1/3) = 2/(-2/3)= (2/1)(3/2)= 3 maximum (-x^2 + 6x + 21 /3) = ((-x^2 + 6x + 9) + 21 + 9)/3)       Log On

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Question 45205This question is from textbook College Algebra
: Find the maximum or minimum value of the function
f(x) = -x^2/3 + 2x + 7
x = 2/2(-1/3) = 2/(-2/3)= (2/1)(3/2)= 3 maximum
(-x^2 + 6x + 21 /3) = ((-x^2 + 6x + 9) + 21 + 9)/3)
= (-(x + 3)^2 + 30)/3
= -(x + 3)^2 + 10
y = 10
Thanks so much! This question is from textbook College Algebra

Answer by rapaljer(4551) About Me  (Show Source):
You can put this solution on YOUR website!
You are correct again! Do you happen to have a graphing calculator? Does anyone want to know how to check these with a calculator? Just draw the graph:
graph+%28300%2C300%2C+-6%2C+10%2C+-6%2C+16%2C+-%28x%5E2%29%2F3%2B2x%2B7+%29+.
Does the vertex agree with your algebra result?? It does!

R^2 at SCC