questions below

1. 

For the polynomial function HI) = 5I3 + 35.1: + 30. state the type of function, domain, range, value of x-intoroopds}.yh1toroept, and the and behaviour. {2 marks] a) Write an equation of a polynomial function that has an end behaviour that starts in Quadrant 3 and ends in Quadrant 1, has no turning points, and a y-intercept at (0, -10). (1 mark) b) Write an equation of a polynomial function that has a minimum value, has left and right tails up, and has 2 x-intercepts. (1 mark)3. Consider the data in the table below. X 0 5 10 15 20 25 30 35 40 45 50 y 120 102 83 74 67 64 62 54 45 31 10 a) Create a scatterplot. Then, determine the cubic regression equation that models the data. Round all parameters to the nearest thousandth, if necessary. (1 mark)\fc) Interpolate the data. Determine the value of x when y is 54