f(x)=2*3^(x)

Question

f(x)=2*3^(x)

Bytelearn · Accepted Answer

Identify function: Identify the given function. The function provided is f(x) = 2 * 3^(x). This is an exponential function where the base is 3, and it is multiplied by 2 for any value of x.Understand components: Understand the components of the function. The function can be broken down into two parts: the coefficient 2 and the exponential part 3^(x). The coefficient 2 will multiply whatever value is obtained from 3^(x).Recognize behavior: Recognize the behavior of the function. Since the base of the exponent is greater than 1 (3 > 1), the function will grow exponentially as x increases. For every unit increase in x, the value of 3^(x) will triple, and then it will be multiplied by 2.Consider domain: Consider the domain of the function. The domain of f(x) = 2 * 3^(x) is all real numbers because you can substitute any real number for x and the function will provide a corresponding output.Consider range: Consider the range of the function. The range of f(x) = 2 * 3^(x) is all positive real numbers because an exponential function with a base greater than 1 will always yield positive results when raised to any real power, and multiplying by 2 keeps the result positive.

$f(x)=2\cdot3^{x}$

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f(x)=2⋅3xf(x)=2\cdot3^{x}f(x)=2⋅3x

$f(x)=2\cdot3^{x}$