What is the maximum and minimum value of function y x 3 3x 2 6?

What is the maximum and minimum value of function y x 3 3x 2 6?

Hence, the maximum value of y is 03-3×0+6=6 and the minimum value of y is (2)3-3(2)2+6=2.

How do you find the maximum value of a function at a point?

If you are given the formula y = ax2 + bx + c, then you can find the maximum value using the formula max = c – (b2 / 4a). If you have the equation y = a(x-h)2 + k and the a term is negative, then the maximum value is k.

What is the minimum value of a function?

The minimum value of a function is the place where the graph has a vertex at its lowest point. In the real world, you can use the minimum value of a quadratic function to determine minimum cost or area. It has practical uses in science, architecture and business.

How do you write maximum and minimum values?

We say that f(x) has a relative (or local) maximum at x=c if f(x)≤f(c) f ( x ) ≤ f ( c ) for every x in some open interval around x=c . We say that f(x) has an absolute (or global) minimum at x=c if f(x)≥f(c) f ( x ) ≥ f ( c ) for every x in the domain we are working on.

What is the meaning of maximum and minimum?

Minimum means the least you can do of something. Maximum means the most you can have of something. For example, if the maximum amount of oranges you can juggle is five, you cannot juggle more than five oranges. You can do the maximum or less.

What is the Max and minimum value of Max and Min?

Max is infinity and min is negative of infinity. In case you are asking for local max and min , max occurs at 0 (function value is 6 ) and min occurs at 2 (function value is 2). The 4 Worst Blood Pressure Drugs. Why some doctors in the know no longer prescribe blood pressure drugs. What is the minimum value of y=3x^2-x-6?

How to find the maximum and minimum of a quadratic function?

The maximum or minimum of a quadratic function occurs at x = − b 2a x = – b 2 a. If a a is negative, the maximum value of the function is f (− b 2a) f ( – b 2 a). If a a is positive, the minimum value of the function is f (− b 2a) f ( – b 2 a). Find the value of x x equal to − b 2a – b 2 a. Substitute in the values of a a and b b.

Do all polynomials have a maximum and a minimum?

Polynomial with an even degree will have a maximum or minimum depending on the sign of the coefficient of their greatest power (they will have a maximum if it is negative and they will have a minimum if it is positive). , 25+ years experience teaching physics and math.