Which is the graph of the function f(x)=x^3+x^2+x+1

Step-by-step explanation:

Next time, please share the possible answers (which here are graphs).

f(x)=x^3+x^2+x+1 builds upon the cubing function x^3, which starts in Quadrant III and continues into Quadrant I.  f(x)=x^3+x^2+x+1  displays the same behavior.  Note that if x = 0, f(0) = 1, so the y-intercept is (0, 1).

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation: