Answer:
The unique intersection point for the given functions which is at x = 0.
The intersection point is (0,0)
Step-by-step explanation:
We are given the following information in the question.
[tex]f(x) = x^4\\g(x) = x^3-x^2[/tex]
We have to find the intersection point.
Equating the two equations we get,
[tex]x^4 = x^3 - x^2\\x^4 - x^3 + x^2 = 0\\x^2(x^2-x +1) = 0\\x^2 =0, x^2-x +1 = 0\\x = 0, x = 0, x^2-x +1=0[/tex]
Since the quadratic equation gives complex root, thus there is a unique intersection point for the given functions which is x = 0.
The attached image shows the graph for the given function.
The red line represent f(x) and blue line represent g(x).
The intersection point is (0,0)
