f(x) = 3(2)^x
Sure, I’d be happy to help!
The function you provided is an exponential function
Sure, I’d be happy to help!
The function you provided is an exponential function. It is written in the form f(x) = a(b)^x, where a and b are constants. In this case, a = 3 and b = 2.
To evaluate the function for a specific value of x, you would substitute that value into the function and perform the calculations. For example, if you wanted to find f(2), you would substitute x = 2 into the function:
f(2) = 3(2)^2
First, we raise 2 to the power of 2:
f(2) = 3(4)
Then, we multiply 3 by 4:
f(2) = 12
Therefore, f(2) = 12.
You can also graph exponential functions to see how they behave. The graph of f(x) = 3(2)^x would be an upward sloping curve that starts from the point (0,3) and gets steeper as x increases. The base 2 indicates exponential growth, where each time x increases by 1, the output of the function doubles.
I hope this helps! If you have any further questions, please feel free to ask.
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