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which graphs are inverses of one another?○ graph a and b○ graph a and c…

none of the graphs shown

分類: calculus 更新時間: 2026-02-09

題目

which graphs are inverses of one another?○ graph a and b○ graph a and c○ graph b and c○ none of the graphs showndone

解題步驟

  1. Understand the question

    which graphs are inverses of one another?○ graph a and b○ graph a and c○ graph b and c○ none of the graphs showndone

  2. Explanation

    Step1: Recall inverse graph property

    Graphs of inverse functions are reflections over the line $y=x$. Also, a function must be one-to-one (pass horizontal line test) to have an inverse.

    Step2: Check each graph's one-to-one status

    • Graph A: Fails horizontal line test (multiple x for same y).
    • Graph B: Fails horizontal line test (oscillates, repeats y-values).
    • Graph C: Fails horizontal line test (oscillates, repeats y-values).

    Step3: Evaluate inverse eligibility

    Since none of the graphs represent one-to-one functions, none can have an inverse function among the given graphs.

  3. Final answer

    none of the graphs shown

答案

Explanation

Step1: Recall inverse graph property

Graphs of inverse functions are reflections over the line $y=x$. Also, a function must be one-to-one (pass horizontal line test) to have an inverse.

Step2: Check each graph's one-to-one status

  • Graph A: Fails horizontal line test (multiple x for same y).
  • Graph B: Fails horizontal line test (oscillates, repeats y-values).
  • Graph C: Fails horizontal line test (oscillates, repeats y-values).

Step3: Evaluate inverse eligibility

Since none of the graphs represent one-to-one functions, none can have an inverse function among the given graphs.

Answer

none of the graphs shown

Question Image

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Question Analysis

Subject mathematics
Sub Subject calculus
Education Level high school
Difficulty unspecified
Question Type with image, multiple choice
Multi Question No
Question Count 1
Analysis Status completed
Analyzed At 2026-02-09T20:07:45

OCR Text

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which graphs are inverses of one another?○ graph a and b○ graph a and c○ graph b and c○ none of the graphs showndone

相關知識點

mathematicscalculuswith image, multiple choicehigh schoolturns-1

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