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QUESTION IMAGE

which graph represents exponential decay?

Question

which graph represents exponential decay?

Explanation:

Brief Explanations

Exponential decay graphs show a function where as the independent variable $x$ increases, the dependent variable $y$ decreases, approaching 0 but never reaching it, with a decreasing rate of change.

  • The top graph: As $x$ increases, $y$ decreases, matching exponential decay.
  • The middle graph: As $x$ increases, $y$ approaches a positive value, not decay.
  • The bottom graph: As $x$ increases, $y$ increases, which is exponential growth.

Answer:

The top graph (the first graph shown, where $y$ decreases as $x$ increases starting from a high $y$-value) represents exponential decay.