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: \[ f(x) = 2^{3x-1} \]

Step 2: Determine the Type of Graph

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

Step 3: Analyze the Function

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

Final Answer

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

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