Questions: Identify the graph for the equation. y=16(2)^x

Identify the graph for the equation. y=16(2)^x
Transcript text: Identify the graph for the equation. \[ y=16(2)^{x} \]
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Solution

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Solution Steps

Step 1: Find the y-intercept

The y-intercept is found when x = 0. Substituting x = 0 into the equation y = 16(2)^x yields y = 16(2)^0 = 16(1) = 16. So the y-intercept is (0, 16).

Step 2: Analyze the graph options

All three graph options appear to represent exponential growth. We need to find the graph with a y-intercept of 16.

Step 3: Identify the correct graph

The middle graph is the only one that passes through the point (0, 16).

Final Answer

The middle graph.

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