Questions: Question 7, 10.2.25 Graph the function on paper, and then choose the correct graph. f(x) = 2^(3x-1)

Question 7, 10.2.25 Graph the function on paper, and then choose the correct graph. f(x) = 2^(3x-1)
Transcript text: Question 7, 10.2.25 Graph the function on paper, and then choose the correct graph. \[ f(x)=2^{3 x-1} \]
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Solution

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Solution Steps

Step 1: Identify the Function

The function given is: f(x)=23x−1 f(x) = 2^{3x-1}

Step 2: Determine the Type of Graph

The function f(x)=23x−1 f(x) = 2^{3x-1} is an exponential function.

Step 3: Analyze the Function

The base of the exponential function is 2, and the exponent is 3x−1 3x - 1 . This indicates that the function will grow exponentially as x x increases.

Final Answer

The function f(x)=23x−1 f(x) = 2^{3x-1} is an exponential function with a base of 2 and an exponent of 3x−1 3x - 1 .

{"axisType": 3, "coordSystem": {"xmin": -3, "xmax": 3, "ymin": -2, "ymax": 10}, "commands": ["y = 2**(3*x - 1)"], "latex_expressions": ["y=23x−1y = 2^{3x-1}"]}

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