The thermostat in your home is set to 66 degrees. Whenever the temperature drops to 66 degrees (roughly every 30 minutes due to the energy efficiency of her home), the furnace comes on and stays on until the temperature reaches 70 degrees.

a) Sketch a graph that illustrates the temperature of the home for 2 hours. b) Find a sine or cosine function that models the temperature of the room after t minutes.