Understanding the Function f(x) = 2(4)^x | Elements and Evaluation

f(x) = 2(4)^x

Let’s break down the function f(x) = 2(4)^x and explain its elements

Let’s break down the function f(x) = 2(4)^x and explain its elements.

1. f(x): This notation represents the function itself. It means that the output of the function is determined by the input value x.

2. 2: This is a constant multiplier in front of the base (4)^x. In this case, it means that the value of the function is multiplied by 2.

3. (4)^x: This is the base raised to the power of x. In this case, the base is 4, and x represents the exponent. This means that 4 is raised to the power of x.

Now, let’s see how we can evaluate and understand the function f(x) = 2(4)^x using an example:

Suppose we want to find the value of f(x) when x = 2.

1. Substitute the value of x into the function: f(2) = 2(4)^2.

2. Evaluate the exponent: 4^2 = 4 * 4 = 16.

3. Multiply the base by the evaluated exponent: 2 * 16 = 32.

Hence, when x = 2, f(x) is equal to 32.

You can evaluate the function for any value of x by following the same steps.

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