Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Find reliable answers to your questions from a wide community of knowledgeable experts on our user-friendly Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Which of the following graphs could be the graph of the function f(x) = x4 + x3 – x2-x?

Sagot :

Answer:

Therefore, at x=0, -1, 1 , f(x) will be 0 . Hence, 0, -1 ,1 are the x-intercepts.

Plotting the graph on desmos, the graph will be as in the attachme

Step-by-step explanation:

f(x)=x^4+x^3-x^2-x

=x^3(x+1)-x(x+1)

=(x+1)(x^3-x)

=(x+1)x(x^2-1)

=(x+1)x(x+1)(x-1)

=(x+1)2x(x-1)