A contour diagram of is given in the following figure. Which one of the following statements is true?
A)The function has a local maximum of about 7 at (1, 3.8), a global maximum of about 15 at (5.2, 4.9), and a global minimum of about -7 at (3, 1.6).
B)The function has a global maximum of about 7 at (1, 3.8), a local maximum of about 15 at (5.2, 4.9), and a global minimum of about -7 at (3, 1.6).
C)The function has a local minimum of about 7 at (1, 3.8), a global minimum of about 15 at (5.2, 4.9), and a global maximum of about -7 at (3, 1.6).
D)The function has a global maximum of about 7 at (1, 3.8), a global maximum of about 15 at (5.2, 4.9), and a global minimum of about -7 at (3,1.6).

Question

A contour diagram of  is given in the following figure. Which one of the following statements is true? 
A)The function has a local maximum of about 7 at (1, 3.8), a global maximum of about 15 at (5.2, 4.9), and a global minimum of about -7 at (3, 1.6). 
B)The function has a global maximum of about 7 at (1, 3.8), a local maximum of about 15 at (5.2, 4.9), and a global minimum of about -7 at (3, 1.6). 
C)The function has a local minimum of about 7 at (1, 3.8), a global minimum of about 15 at (5.2, 4.9), and a global maximum of about -7 at (3, 1.6). 
D)The function has a global maximum of about 7 at (1, 3.8), a global maximum of about 15 at (5.2, 4.9), and a global minimum of about -7 at (3,1.6).

Quizplus · Accepted Answer

From the contour diagram, it can be observed that there is a local maximum at around (1,3.8) with a value of about 7. There is also a global maximum at around (5.2,4.9) with a value of about 15. Finally, there is a global minimum at around (3,1.6) with a value of about -7. Therefore, choice A is the correct statement.

A Contour Diagram of Is Given in the Following