Question

Найти наибольшее и наименьшее значение функции на [-2;-0,5]

Answer 1

Решение на фотографии

Answer 2

To find the maximum and minimum values of a function on the interval $[-2, -0.5]$, we need to evaluate the function at both endpoints of the interval and at any critical points within the interval. Critical points are points where the derivative of the function is either zero or does not exist.

However, since you haven't provided the specific function, I can only demonstrate the process with a generic function $f(x)$. Let's call the function $f(x)$.

Step 1: Evaluate the function at the endpoints of the interval $[-2, -0.5]$.

• Calculate $f(-2)$ and $f(-0.5)$.

Step 2: Find critical points within the interval $[-2, -0.5]$.

• Calculate the derivative of the function $f'(x)$.
• Set $f'(x) = 0$ and solve for $x$ to find any critical points in the interval.

Step 3: Evaluate the function at any critical points found in Step 2.

Step 4: Compare all the values obtained in Steps 1 and 3 to find the maximum and minimum values of the function on the given interval.

If you provide the specific function, I can help you with the calculations.