Graph the following function and describe all extrema. Round answers to the nearest thousandth.
A) No minimum nor maximum occurs.
B) A minimum occurs at . No maximum occurs.
C) A minimum occurs at . A maximum occurs at .
D) No minimum nor maximum occurs.

Question

Graph the following function and describe all extrema. Round answers to the nearest thousandth.  
A) No minimum nor maximum occurs. 
B) A minimum occurs at . No maximum occurs. 
C) A minimum occurs at . A maximum occurs at . 
D) No minimum nor maximum occurs.

Quizplus · Accepted Answer

Option A has no extrema, Option B has only one minimum, and Option D has no extrema. Option C has both a minimum and a maximum, and they can be found by taking the derivative of the function and setting it equal to zero. The derivative is a quadratic function, and the roots can be found using the quadratic formula. The minimum occurs at x = -0.379 and the maximum occurs at x = 1.379. Therefore, option C is the best choice as it has both a minimum and a maximum.

Graph the Following Function and Describe All Extrema