# Oneclass: Which Polynomial Function Could Be Represented By The Graph Below? ?

The x-intercepts are at points x=-3, x=0, x=2. The graph should be increasing – decreasing – increasing.

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2.

The x-intercepts are at points x=-2, x=0, x=3. The graph should be increasing – decreasing – increasing.

3.

The x-intercepts are at points x=-3, x=0, x=2. The graph should be decreasing – increasing – decreasing.

4.

The x-intercepts are at points x=-2, x=0, x=3. The graph should be decreasing – increasing – decreasing.

From the diagram you can see that x-intercepts are at points x=-3, x=0, x=2 and the graph is decreasing-increasing-decreasing.

brianowens.tv: correct choice is 3.

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DedPeter <7>11 months ago
7 0

The polynomial function is

that is represented by the graph. Option (3) is correct.

Further explanation:

Given:

The options of the equations are as follows.

1.

2.

3.

4.

Explanation:

The graph passes through the points

and

Solve the polynomial

to obtain the zeros of x.

The zeros of the polynomial are -3, 0 and 2.

The graph of the polynomial

is increasing-decreasing-increasing.

Solve the polynomial

to obtain the zeros of x.

The zeros of the polynomial are -2, 0 and 3.

The graph of the polynomial

is increasing-decreasing-increasing.

The graph doesn’t passes through the point

Therefore, the polynomial doesn’t satisfy the graph.

Solve the polynomial

to obtain the zeros of x.

The zeros of the polynomial are -2, 0 and 3.

The graph of the polynomial

is decreasing-increasing-decreasing.

Solve the polynomial

to obtain the zeros of x.

The zeros of the polynomial are -2, 0 and 3.

The graph of the polynomial

is decreasing-increasing-decreasing.

The graph doesn’t passes through the point

Therefore, the polynomial doesn’t satisfy the graph.

From the graph it has been observed that the graph is decreasing-increasing-decreasing.

The polynomial function is

that is represented by the graph. Option (3) is correct.