Question

question #3 the graph of f(x)=\frac{1}{2}(x^{3}-3x^{2}-4x - 12) is shown below. determine the number of real solutions of f(x). 0 2 3 1

Explanation:

Step1: Recall solution - graph relation

The real - solutions of a function \(y = f(x)\) are the \(x\) - values where \(y = 0\), i.e., the \(x\) - intercepts of the graph of the function.

Step2: Count \(x\) - intercepts

By looking at the given graph of \(y=\frac{1}{2}(x^{3}-3x^{2}-4x - 12)\), we can see that the graph intersects the \(x\) - axis at 1 point.

Answer:

1