SOLUTION: a) Determine what value of x gives the optimal value of the functions and b) Determine the optimal (maximum or minimum) value of the functions:
1. y = x^2 - 2x
2. y = 6 - 4x - 2x
Algebra.Com
Question 1006648: a) Determine what value of x gives the optimal value of the functions and b) Determine the optimal (maximum or minimum) value of the functions:
1. y = x^2 - 2x
2. y = 6 - 4x - 2x^2
3.f(x)= x^2 + 2x - 3
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a) Determine what value of x gives the optimal value of the functions and b) Determine the optimal (maximum or minimum) value of the functions:
"Optimal" values for quadratics occur when x = -b/(2a)
--------------
1. y = x^2 - 2x
x = 2/(2*1) = 1
f(1) = 1-2 = -1
Vertex:: (1,-1) is a minimum because a > 0
--------------------
2. y = 6 - 4x - 2x^2
x = 4/(2*-2) = -1
f(-1) = 6 + 4 - 2 = 8
Vertex:: (-1,8) is a maximum because a < 0
------------------
Cheers,
Stan H.
------------
3.f(x)= x^2 + 2x - 3
RELATED QUESTIONS
Determine the maximum or minimum range value [P(x)] of the function P(x) = -3x2 + 6x + 5. (answered by Earlsdon)
Determine whether the given quadratic function has a minimum value or maximum value. Then (answered by josmiceli)
Determine whether the given quadratic function has a minimum value or maximum value. Then (answered by MathLover1)
Determine whether the given quadratic function has a minimum value or maximum value. Then (answered by Simnepi)
Determine whether the given quadratic function has a minimum value or maximum value. Then (answered by Fombitz)
The function f(x)=x^2-10x+21 has a maximum value or a minimum value and determine the... (answered by adunbar,stanbon)
Determine, without graphing, whether the given quadratic function has a maximum value or... (answered by Edwin McCravy)
Determine, without graphing, whether the given quadratic function has a maximum value or... (answered by ikleyn)
Determine, without graphing, whether the given quadratic function has a maximum value or... (answered by MathLover1)