Example OAF.PFF.3 : $P(x) =\frac 1 2*(x^2+1)*(x-2)*(x+1)$.
Notice: $A=\frac 1 2, r_1=2$ , and $r_2= -1$ and $g_P(x)=x^2 + 1$.
Draw a mapping diagram and graph of $P$ yourself or explore the GeoGebra figure.

Given a point / number, $x$, on the source line, there is a unique arrow  meeting the target line at the point / number, $P(x) =\frac 1 2*(x^2+1)*(x-2)*(x+1)$., which corresponds to the polynomial function's value for $x$.

When the point in the domain is $0$, the arrow points to $f(0) = \frac 1 2 *(1)*(-2)*(1) = -1$  visualizing the "Y-intercept" on the graph of $P$.
The X- intercepts are the values for $a$ on the domain axis from which the arrow hits the number $0$  on the target. For this function, those values is $a=2$ and $a=-1$, the values of the real roots, $r_1$ and $r_2$.
The passage describes a polynomial function \( P(x) \) and provides specific values for its coefficients and roots. It also explains how to interpret the function's values and intercepts using a mapping diagram and a graph.
no_question

the text does not contain any explicit mathematical questions or word problems that require solving. it primarily provides information and explanations about the polynomial function \( p(x) \).
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
Example OAF.PFF.3 : $P(x) =\frac 1 2*(x^2+1)*(x-2)*(x+1)$.
Notice: $A=\frac 1 2, r_1=2$ , and $r_2= -1$ and $g_P(x)=x^2 + 1$.
Draw a mapping diagram and graph of $P$ yourself or explore the GeoGebra figure.

Given a point / number, $x$, on the source line, there is a unique arrow  meeting the target line at the point / number, $P(x) =\frac 1 2*(x^2+1)*(x-2)*(x+1)$., which corresponds to the polynomial function's value for $x$.

When the point in the domain is $0$, the arrow points to $f(0) = \frac 1 2 *(1)*(-2)*(1) = -1$  visualizing the "Y-intercept" on the graph of $P$.
The X- intercepts are the values for $a$ on the domain axis from which the arrow hits the number $0$  on the target. For this function, those values is $a=2$ and $a=-1$, the values of the real roots, $r_1$ and $r_2$.
user
The passage describes a polynomial function \( P(x) \) and provides specific values for its coefficients and roots. It also explains how to interpret the function's values and intercepts using a mapping diagram and a graph.

TYPE: NO_QUESTION

The text does not contain any explicit mathematical questions or word problems that require solving. It primarily provides information and explanations about the polynomial function \( P(x) \).