Question

question #13 the graph of the polynomial f(x) is shown below. determine the x - intercepts of f(x). (1,0),(2,0),(4,0) (-1,0),(2,0),(4,0) (-1,0),(-2,0),(-4,0) (1,0),(-2,0),(-4,0)

Explanation:

Step1: Recall x - intercept definition

The x - intercepts of a function \(y = f(x)\) are the points where \(y=0\), i.e., the points where the graph of the function crosses the x - axis.

Step2: Identify points on graph

Looking at the graph, the curve of \(y = f(x)\) crosses the x - axis at \(x=-4\), \(x = - 2\) and \(x = 1\). The x - intercepts are written as ordered pairs \((x,0)\). So the x - intercepts are \((-4,0)\), \((-2,0)\) and \((1,0)\).

Answer:

\((1,0),(-2,0),(-4,0)\)