A contour map for a function $f$ is shown. Use it to estimate the value of $f ( - 2,2 )$.
Select the correct answer.

A) 64
B) 78
C) 35
D) 28
E) 48

Question

A contour map for a function $f$ is shown. Use it to estimate the value of $f ( - 2,2 )$.
Select the correct answer.

A) 64 
B) 78 
C) 35 
D) 28 
E) 48

Quizplus · Accepted Answer

From the contours, we can see that the value of $f$ increases as we move away from the origin towards the right and up. Since we want to estimate $f(-2,2)$, we can use the contours to trace a path from the point (-2,2) towards the right and up until we reach a contour whose value we know. Along this path, we cross the contour labeled 64. Therefore, we can estimate that $f(-2,2)\approx 64$.

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