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question 8 use the graph of the polynomial function shown below to iden…

| Zeros | Mult. | |-------|-------| | $-7$ | $2$ | | $1$ | $1$ | | $6$ | $1$ |

分類: calculus 更新時間: 2026-02-09

題目

question 8
use the graph of the polynomial function shown below to identify the zeros of the function and the multiplicity of each zero. leave any remaining answer boxes empty.
zeros\tmult.

解題步驟

  1. Understand the question

    question 8
    use the graph of the polynomial function shown below to identify the zeros of the function and the multiplicity of each zero. leave any remaining answer boxes empty.
    zeros\tmult.

  2. Explanation

    Step1: Identify zeros from x-intercepts

    The graph crosses/touches the x-axis at $x=-7$, $x=1$, and $x=6$.

    Step2: Analyze multiplicity for $x=-7$

    Graph touches x-axis, bounces: even multiplicity. Lowest even: 2.

    Step3: Analyze multiplicity for $x=1$

    Graph crosses x-axis: odd multiplicity. Lowest odd: 1.

    Step4: Analyze multiplicity for $x=6$

    Graph crosses x-axis: odd multiplicity. Lowest odd: 1.

  3. Final answer

    | Zeros | Mult. |
    |-------|-------|
    | $-7$ | $2$ |
    | $1$ | $1$ |
    | $6$ | $1$ |

答案

Explanation

Step1: Identify zeros from x-intercepts

The graph crosses/touches the x-axis at $x=-7$, $x=1$, and $x=6$.

Step2: Analyze multiplicity for $x=-7$

Graph touches x-axis, bounces: even multiplicity. Lowest even: 2.

Step3: Analyze multiplicity for $x=1$

Graph crosses x-axis: odd multiplicity. Lowest odd: 1.

Step4: Analyze multiplicity for $x=6$

Graph crosses x-axis: odd multiplicity. Lowest odd: 1.

Answer

| Zeros | Mult. |
|-------|-------|
| $-7$ | $2$ |
| $1$ | $1$ |
| $6$ | $1$ |

Question Image

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Question Analysis

Subject mathematics
Sub Subject calculus
Education Level high school
Difficulty unspecified
Question Type with image, with chart
Multi Question No
Question Count 1
Analysis Status completed
Analyzed At 2026-02-09T20:24:27

OCR Text

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question 8
use the graph of the polynomial function shown below to identify the zeros of the function and the multiplicity of each zero. leave any remaining answer boxes empty.
zeros\tmult.

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mathematicscalculuswith image, with charthigh schoolturns-1

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