To determine the correct exponential equation for the given graph, we'd typically need to analyze specific points on the graph, such as the y-intercept and the behavior of the graph as it approaches the x-axis. However, without the image to reference, I can guide you through how to identify the correct equation if you had a graph available.
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Identify the y-intercept: This occurs where \( x = 0 \). Plugging \( x = 0 \) into each of the given equations would give the value of \( y \) at that point.
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Determine growth or decay: Check how the graph behaves as \( x \) increases. If it rises steeply, it's likely an exponential growth function; if it falls, it's a decay function.
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Identify the base: In the expressions, the base of the exponential part will indicate the rate of growth (for bases greater than 1) or decay (for bases between 0 and 1).
Using these steps with the provided options will help you narrow down which equation corresponds with the graph. Please analyze the graph based on these strategies or share the necessary details from the graph for a clearer answer!
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