Graph the Function Over a One-Period Interval $$T ( x ) = 37 \sin \left[ \frac { 2 \pi } { 365 } ( x - 101 ) \right] + 25$$

Graph the function over a one-period interval.
-The temperature in Fairbanks is approximated by $$T ( x ) = 37 \sin \left[ \frac { 2 \pi } { 365 } ( x - 101 ) \right] + 25$$ where $T ( x )$ is the temperature on day $x$ , with $x = 1$ corresponding to Jan. 1 and $x = 365$ correspondin; to Dec. 31. Estimate the temperature on day 31.

A) $- 35 ^ { \circ }$
B) $21 ^ { \circ }$
C) $- 10 ^ { \circ }$
D) $- 25 ^ { \circ }$

Correct Answer:

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