f(x)=x^3
To evaluate the function f(x) = x^3, we need to substitute a value for x and then compute the result using the given formula
To evaluate the function f(x) = x^3, we need to substitute a value for x and then compute the result using the given formula.
For example, let’s evaluate f(x) when x = 2:
f(2) = (2)^3 = 2 * 2 * 2 = 8
So, when x = 2, f(x) = 8.
Similarly, we can evaluate f(x) for other values of x. Let’s consider a few more examples:
1. When x = 0:
f(0) = (0)^3 = 0 * 0 * 0 = 0
2. When x = -1:
f(-1) = (-1)^3 = -1 * -1 * -1 = -1
3. When x = 5:
f(5) = (5)^3 = 5 * 5 * 5 = 125
Now, suppose you want to find the roots of this function, which means finding the values of x for which f(x) equals zero. In this case, we need to solve the equation f(x) = 0:
x^3 = 0
To solve this equation, we take the cube root of both sides:
∛(x^3) = ∛(0)
x = 0
So, the only root of this function is x = 0.
Lastly, let’s analyze the graph of this function. Since f(x) = x^3 is a polynomial function of degree 3, we expect its graph to have a characteristic shape. For positive values of x, f(x) will be positive, and for negative values of x, f(x) will be negative. The graph will pass through the point (0, 0) since f(0) = 0. As x approaches positive or negative infinity, f(x) will also approach positive or negative infinity, respectively.
I hope this explanation helps! Let me know if you have any further questions.
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