A function and its graph are given. Use the graph to find , if it exists. Confirm your results analytically.
D)
E)does not exist

Question

A function and its graph are given. Use the graph to find  , if it exists. Confirm your results analytically. ​  
D)​ 
E)does not exist

Quizplus · Accepted Answer

From the graph, we can see that the function has a maximum value of 4, which occurs at x = -1. This means that 11eb0d3b_986c_ca04_9790_b56fb2bfde3a_TB1243_11 is 4. This can be confirmed analytically by finding the derivative of the function and setting it equal to 0 to find the maximum point. The derivative is f'(x) = -2x - 2. Setting this equal to 0 gives x = -1, and plugging this into the original function gives a value of 4. Therefore, our answer is D.

A Function and Its Graph Are Given