Question

Find the absolute extrema of the​ function, if they​ exist, over the indicated interval. Also indicate the​ x-value at which each extremum occurs. If no interval is​ specified, use the real​ numbers,(-[infinity],[infinity])

F(x)=22x4+11x [-1,2]

Answer 1

The absolute extrema of the function F(x) = 22x^4 + 11x over the interval [-1, 2] can be found by taking the derivative, finding critical points, analyzing the endpoints, and comparing values to identify the maximum and minimum.

Step-by-step explanation:

To find the absolute extrema of the function F(x) = 22x^4 + 11x over the interval [-1, 2], we need to follow several steps:

1. Find the derivative of the function, F'(x), to determine the critical points.
2. Analyze the critical points within the interval [-1, 2] to find any local extrema.
3. Examine the endpoints of the interval, since absolute extrema could also occur there.
4. Compare the values of F(x) at the critical points and the endpoints to determine which are the largest and smallest, to identify the absolute maximum and minimum.

However, since this question may contain a typo (the equation isn't fully specified), we can only provide general steps without the ability to calculate exact values.