Question

Find the absolute extrema if they exist, as well as all values of x where they occur, for each function, and specified domain. If you have one, use a graphing calculator to verify your answers. g

a) Maxiμm at x = ____
b) Miniμm at x = ____
c) Inflection point at x = ____
d) No extrema

Answer 1

To find the absolute extrema of a function, find the critical points and endpoints of the function, evaluate the function at these points, and determine the maximum and minimum values. Use a graphing calculator to verify your answers.

Step-by-step explanation:

To find the absolute extrema of a function, you need to find the maximum and minimum values of the function within a specified domain. This can be done by finding the critical points and endpoints of the function, and evaluating the function at these points. The maximum value will be the highest point on the graph, while the minimum value will be the lowest point.

To find the points where the extrema occur, you can differentiate the function and set the derivative equal to zero. Solve for x to find the critical points. Then evaluate the function at the critical points and the endpoints of the specified domain to determine the maximum and minimum values.

Additionally, you can use a graphing calculator to verify your answers. Simply graph the function and look for the highest and lowest points on the graph.