What is the maximum and minimum value of f(x)?

What is the maximum and minimum value of f(x)?

The function f (x) is maximum when f” (x) < 0 The function f (x) is minimum when f” (x) > 0 To find the maximum and minimum value we need to apply those x values in the original function.

What is the Y-Y value at x = 2x = 2?

The final answer is 0 0. The y y value at x = 2 x = 2 is 0 0. Graph the parabola using its properties and the selected points. Graph the parabola using its properties and the selected points.

How do you find the maximum and minimum value of parabola?

To find the maximum and minimum value we need to apply those x values in the original function. To find the maximum value, we have to apply x = 2 in the original function. Therefore the maximum value is 7 at x = 2. Now let us check this in the graph. The given function is the equation of parabola.

Does a function have to have a relative extrema?

This function has an absolute maximum of eight at x = 2 x = 2 and an absolute minimum of negative eight at x = − 2 x = − 2. This function has no relative extrema. So, a function doesn’t have to have relative extrema as this example has shown.

How to find the maximum and minimum value of a derivative?

Apply those critical numbers in the second derivative. To find the maximum and minimum value we need to apply those x values in the original function. To find the maximum value, we have to apply x = 2 in the original function. Therefore the maximum value is 7 at x = 2. Now let us check this in the graph.

How do you find the local maximum value of a function?

Use the Fundamental Theorem of Calculus to find f’ (x). Then find critical numbers and finally, use the first derivative test to determine where the local maximum occurs. I assume that the domain is as large as possible, namely RR.

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.

How do you find the absolute maximum and absolute minimum?

To find the absolute maximum and absolute minimum, follow these steps: 1. Find the the critical points of f on D. 2. Find the extreme values of f on the boundary of D. 3. The largest of the values from steps 1 and 2 is the absolute maximum value; the smallest of these values is the absolute minimum value. 140 of 155