f(x)=x^3
The function you provided is f(x) = x^3, which is a polynomial function of degree 3
The function you provided is f(x) = x^3, which is a polynomial function of degree 3. This means that the highest power of x in the function is 3.
To understand what this function represents, let’s break it down:
1. The variable x: This represents an input value. You can substitute any number for x in the function to get a corresponding output value.
2. The exponent: In this case, x is raised to the power of 3. This means you multiply x by itself three times: x * x * x. For example, if x is 2, then 2^3 = 2 * 2 * 2 = 8.
3. The function notation: f(x) is used to represent the output value of the function. So, if you evaluate f(x), you will find the value of the function for a specific input.
To evaluate the function for a given x, you can simply substitute the value of x into the expression x^3. Let’s look at a few examples:
Example 1: Find f(2)
To find f(2), we substitute 2 for x in the function expression: f(2) = 2^3 = 2 * 2 * 2 = 8. So, f(2) = 8.
Example 2: Find f(-1)
For f(-1), we substitute -1 for x: f(-1) = (-1)^3 = -1 * -1 * -1 = -1. Therefore, f(-1) = -1.
Example 3: Find f(0)
When we substitute 0 for x, f(0) = 0^3 = 0 * 0 * 0 = 0. Thus, f(0) = 0.
These examples show how to evaluate the function for specific values of x. You can apply this process to find the value of f(x) for any given x.
Additionally, since this is a polynomial function, it is continuous and differentiable for all real numbers. It also has no restrictions or limitations on the domain of x. The range of the function, however, spans all real numbers since any real number cubed will yield a real number.
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