1. Compare the key characteristics of the graphs of the following two polynomials. Polynomial 1: y =4-2x Polynomial 2: y= x' -3x2 +4 2. Explain the number of possible x-intercepts that each of the following functions could have. Justify your answer. a. Quadratic b. Cubic Use the following information to answer the following question. The volume in a water tank can be modelled by the function V(t) =-212 +5t +7, where V is the volume in gallons and t is the time after 12:00 pm on a particular day. 3. Explain how you would determine the volume of the tank at noon.An arrow is released from the top of a cliff. The table of values identifies the height h, of the arrow, in metres, over time t, in seconds. Time (s) 0 1 2 3 4 5 Height (m) 25 45 52 55 51 47 State the quadratic regression that represents the data above. Round all values to the nearest hundred Determine how long it takes, to the nearest hundredth, for the arrow to fall to 30 m. Use the following information to answer the next 3 questions. The rate at which snow fell on a particular day can be modelled by the following quadratic function. r =-312 + 6t where r is the rate of snow fell in cubic centimetres per hour and t is the time in hours. Determine the rate of snow fell, to the nearest hundredth, after 30 minutes. State the domain and range of the function. Determine how many hours the snowfall rate is greater than 2.0cm /hour, to the nearest tenth