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
Which graph could be the graph of f(x)?
Here in the question it is given that,
- The degree of the polynomial function is 3.
- The roots of the equation when f(x) = 0 are −1, 0, and 4.
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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