The graph of the given polynomial function is graph 2 given that the degree of the polynomial function is 3 and the roots of the equation when f(x) = 0 are −1, 0, and 4. This can be obtained by
Here in the question it is given that,
We have to find the graph of the polynomial function f(x).
As given in the question the polynomial f(x) has 3 roots.
Now, when f(x) = 0, we are told that the 3 roots are,
⇒ x = - 1
⇒ x = 0
⇒ x = 4
The roots of a polynomial on a graph are the points where the graph curve crosses the x - axis which are called the x-intercepts.
By observing all the given graphs, the only graph that crosses the x-axis at the points x = - 1, x = 0, and x = 4 is the second graph which is graph 2.
Hence the graph of the given polynomial function is graph 2 given that the degree of the polynomial function is 3 and the roots of the equation when f(x) = 0 are −1, 0, and 4.
Learn more about graphs of polynomial function here:
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