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