a) Based on the graph, when would you expect the highest temperature to occur in New York?

b) Based on the graph, when would you expect the lowest temperature to occur?

c) Estimate the points of inflection for the function T(x) using the second derivative. What is the significance of the points of inflection?

The average temperature in New York can be approximated by the function

T ( x ) = 43 . 5 -18 . 4 x +8 . 57 x 2 -0 . 996 x 3 +0 . 0338 x 4

Where T represents the temperature, in degrees Fahrenheit, x = 1 represents the middle of January, x = 2 represents the middle of February, and so on.

Temperature (in degrees Fahrenheit) 70 65 0 55 50 45 15 10+ LO 5- + 1 + 2 + + 4 Month 7 00 (7) 10 11 12