SOLUTION: Find the maximum or minimum value of the function. State whether this value is a maximum or minimum. f(x)= 5x squared - 11

Algebra ->  Functions -> SOLUTION: Find the maximum or minimum value of the function. State whether this value is a maximum or minimum. f(x)= 5x squared - 11       Log On


   



Question 756195: Find the maximum or minimum value of the function. State whether this value is a maximum or minimum.
f(x)= 5x squared - 11

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
y = 5x^2 - 11
put in standard form of a quadratic equation to get:
5x^2 - 11 = 0
a = 5
b = 0
c = -11
axis of symmetry is given by the equation:
x = -b/2a
with the given values of b and a, this becomes:
x = 0
the equation is maximum or minimum at x = 0
when x = 0, the value of y is equal to -11
the max/min point is (0,-11)
this point is a minimum because the coefficient of the x^2 term is positive.
the graph is shown below:
graph%28600%2C600%2C-10%2C10%2C-20%2C20%2Cx%5E2-11%29