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题目

解题步骤

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

Question Analysis

OCR Text

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

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