Please show work and explain **Question 1:** Write the complete factored form of \( f(x) \).**Graph Analysis:**The graph depicts a polynomial function \( y = f(x) \). Here is a detailed examination of the graph:- **Axes:** The graph is plotted on a standard Cartesian coordinate system with the x-axis and y-axis.- **Scale:** The x and y axes are marked with a scale of 1 unit. Notable points are marked: -2, 1, 2, 3 on the x-axis, and -8, 4, 8 on the y-axis.- **Curve Description:** The curve appears to be a polynomial with several turning points. It crosses the x-axis at approximately \( x = -2.5 \), \( x = 1 \), and \( x = 3 \).- **Behavior:** - As \( x \) approaches negative infinity, \( y \) also decreases, suggesting the left end behavior. - As \( x \) approaches positive infinity, \( y \) decreases, indicating the right end behavior. - **Y-Intercept:** The graph does not clearly show the specific point where it intersects the y-axis.The graph may indicate that the function \( f(x) \) is a polynomial with potential factors corresponding to the observed x-intercepts.

Note Factor form of a function is given by f(x) =(x-a)(x-b)(x-c)....... and so on Where a,b,c are the zeros of f(x) means at that point graph of f(x) cut or touch the x axis . Now in our case Clearly see from the graph Graph of f(x) touch the x axis at 2 and cut the x axis at -1 and -3. So factor form will be f(x)=(x-2)(x+1)(x+3)