Questions: Graph the equation on paper, and then choose the correct graph. y=0.5(9^(-x))

Graph the equation on paper, and then choose the correct graph. y=0.5(9^(-x))
Transcript text: Graph the equation on paper, and then choose the correct graph. \[ y=0.5\left(9^{-x}\right) \]
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Solution

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Solution Steps

Step 1: Identify the function to be graphed

The given equation is: \[ y = 0.5 \left(9^{-x}\right) \]

Step 2: Determine the type of graph

The equation is in the form of an exponential function, which is typically graphed on a Cartesian coordinate system.

Step 3: Define the range for the graph

To graph this function, we need to define a reasonable range for \(x\) and \(y\). A typical range for \(x\) might be from -3 to 3, and for \(y\), it might be from 0 to 1, given the exponential decay.

Final Answer

The function to be graphed is: \[ y = 0.5 \left(9^{-x}\right) \]

{"axisType": 3, "coordSystem": {"xmin": -3, "xmax": 3, "ymin": 0, "ymax": 1}, "commands": ["y = 0.5*(9**(-x))"], "latex_expressions": ["$y = 0.5 \\left(9^{-x}\\right)$"]}

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