Answer:
The roots of the functions are x = -1, 0, 2
Step-by-step explanation:
- The roots of the function f(x) are the values of x at f(x) = 0
- To find the roots of a function from the graph of the function, find the points of intersection between the graph and the x-axis because on the x-axis f(x) = 0
From the given graph
∵ The graph of the function intersects the x-axis in three points
→ That means the function has 3 roots
∴ The function represented by the given graph has 3 roots
∵ The graph intersects the x-axis at points (-1, 0), (0, 0), and (2, 0)
∴ The values of x-coordinates of these points are -1, 0, 2
∴ At f(x) = 0, x = -1, 0, 2
∵ The roots of the function are the values of x at f(x) = 0
→ That means the roots of the functions are x = -1, x = 0, and x = 2
∴ The roots of the functions are x = -1, 0, 2
