Questions: Determine an equation for the pictured graph. Write your answer in factored form and assume the leading coefficient is either 1 or -1, you should be able to determine which is the case by looking at the graph. y=

Determine an equation for the pictured graph. Write your answer in factored form and assume the leading coefficient is either 1 or -1, you should be able to determine which is the case by looking at the graph.

y=

Transcript text: Determine an equation for the pictured graph. Write your answer in factored form and assume the leading coefficient is either 1 or -1 , you should be able to determine which is the case by looking at the graph. \[ y= \] $\square$ Question Help: Video Message instructor Submit Question

Solution

Solution Steps

Step 1: Identify the x-intercepts

The graph crosses the x-axis at x = -1, x = 0, and x = 1. These are the roots of the polynomial.

Step 2: Determine the factors

Since the roots are -1, 0, and 1, the factors of the polynomial are (x+1), x, and (x-1).

Step 3: Determine the leading coefficient

The graph rises to the right and falls to the left, indicating a positive leading coefficient. Since we are given that the leading coefficient is either 1 or -1, it must be 1 in this case.

Final Answer:

y = x(x+1)(x-1)

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