Sovi AI

Sovi AI

拍题学习助手

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

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

分类: calculus 更新时间: 2026-02-09

题目

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.

解题步骤

  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

Click to enlarge

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

Show OCR extraction
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.

相关知识点

mathematicscalculuswith image, with charthigh schoolturns-1

关联题目

Sovi AI iOS

官网:mysovi.ai。题库页面域名:question-banks.mysovi.ai。iOS 应用通过 Apple App Store 提供。

前往 App Store 下载 分类: 微积分