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

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

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
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.
Final answer
none of the graphs shown

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.

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

none of the graphs shown

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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

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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

mathematicscalculuswith image, multiple choicehigh schoolturns-1

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