A contour map for a function $f$ is shown. Use it to estimate the value of $f ( - 3,3 )$.

A) 78
B) 48
C) 56
D) 35
E) 28

Question

A contour map for a function $f$ is shown. Use it to estimate the value of $f ( - 3,3 )$.

A) 78 
B) 48 
C) 56 
D) 35 
E) 28

Quizplus · Accepted Answer

We can see from the contour map that the value of $f$ is highest in the center and decreases moving away from it. We can estimate the value of $f(-3,3)$ by finding the contour line that passes through it and then looking at the values on that line. The contour line appears to be between the values of 50 and 60, closer to 60. Therefore, the best estimate for $f(-3,3)$ is 56, which is choice C.

A Contour Map for a Function fff Is Shown Use It to Estimate the Value Of Shown

A Contour Map for a Function $f$ Is Shown Use It to Estimate the Value Of Shown