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問題

解法ステップ

1. Understand the question

   which graph does not show a function?

2. Explanation

   Step1: Recall vertical line test rule

   A graph represents a function if any vertical line drawn intersects the graph at most once.

   Step2: Test top-left graph

   Any vertical line intersects this V-shaped graph only once. It is a function.

   Step3: Test top-right graph

   Any vertical line intersects this straight line only once. It is a function.

   Step4: Test bottom-left graph

   Any vertical line intersects this parabola only once. It is a function.

   Step5: Test bottom-right graph

   Draw a vertical line through the x-values covered by the horizontal segments. This line intersects multiple segments (multiple y-values for one x-value). It fails the test.

3. Final answer

   The bottom-right graph (the one with horizontal segments) does not show a function.

答え

Question Analysis

OCR Text

which graph does not show a function?

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