Quartic Model A dye is used in the blood to measure a patient’s cardiac output when there is potential for a heart attack. In a normal heart, the concentration of the dye is modeled by the function

LaTeX: C\left(t\right)=-0.005t^4+0.139t^3- 0.051t^2+1.800t, C ( t ) = − 0.005 t 4 + 0.139 t 3 − 0.051 t 2 + 1.800 t ,where C is concentration and t is time, measured in seconds.

(a) Use graphing software to graph and find the real zeros of the function.

(b) What must be true of two of the zeros of this function

(c) Explain why the end behavior of this function makes sense based on its leading coefficient and degree.