A polynomial function has a root of –6 with multiplicity 1, a root of –2 with multiplicity 3, a root of 0 with multiplicity 2, and a root of 4 with multiplicity 3. If the function has a positive leading coefficient and is of odd degree, which statement about the graph is true?
The graph of the function is positive on (–6, –2).
The graph of the function is negative on (-infinity 0).
The graph of the function is positive on (–2, 4).
The graph of the function is negative on (4, infinity).

The answer I put is true because if the point (-infinity, 0) is on the line, the line is going to be negative because it reaches to -infinity on the x-axis.

I graphed this equation on the graph below.

If this answer is correct, please make me Brainliest!

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sheenuvt12 sheenuvt12 · Answer 2 · 2022-08-01T23:28:06+02:00

The true statement is The graph of the function is negative on (-infinity 0).

What is graphing function?

Graphing functions is drawing the curve that represents the function on the coordinate plane. If a curve (graph) represents a function, then every point on the curve satisfies the function equation. For example, the following graph represents the linear function f(x) = -x+ 2.

Graphing basic functions like linear functions and quadratic functions is easy. The basic idea of graphing functions is

Identifying the shape if possible. For example, if it is a linear function of the form f(x) = ax + b, then its graph would be a line; if it is a quadratic function of the form f(x) = ax2 + bx + c, then its a parabola.
finding some points on it, by substituting some random values of x and finding the corresponding values of y by substituting each value into the function.

Given:

1. . A polynomial function has a root of –6 with multiplicity 1

2. This is the equation you described but put in equation form : (x + 2)³

3. x²

4 It has a root of 4 with multiplicity 3

Thus, the graph is f(x) = (x - 6)(x + 2)³(x + 0)²(x - 4)³ .

Hence, graph of the function is negative on (-infinity 0).

Learn more about graphical function here:

https://brainly.com/question/2500919

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