The weight of an ideal cut round diamond can be modeled by the polynomial f(d)=0.0071d^3−0.090d^2+0.48d , where d is the diameter of the diamond. Find the domain and range of the function in the context of the situation. A)The domain and range are both all real numbers.
B)The domain is {d|d≥0} , and the range is {f(d)||f(d)≥0} .
C)The domain is {d|d≥0} , and the range is all real numbers.
D)The domain is all real numbers, and the range is {f(d||f(d)≥0)} .

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)