Answer:
The zeroes of the function are -3 , -1 , 1 ⇒ 3rd answer
Step-by-step explanation:
* Lets explain the meaning of the zeroes of the function
- The zeroes of the function are the values of x when f(x) = 0
- That means the coordinates of the intersection points between the
curve and the x-axis
- Ex: If the graph of f(x) intersects the x-axis at points (p , 0) , (q , 0) ,
(r , 0) then the zeroes of f(x) are p , q , r
* Lets solve the problem
- The graph starts at the bottom left
- It continues up through the x-axis at negative three
- That means it intersects the x-axis at point (-3 , 0)
∴ The first zero of the function is -3
- It goes to a maximum around y equals three
- It goes back down through the x-axis at negative one
- That means it intersects the x-axis again at point (-1 , 0)
∴ The second zero of the function is -1
- It goes to a minimum around y equals negative one
- It goes back up through the x-axis at one
- That means it intersects the x-axis again at point (1 , 0)
∴ The third zero of the function is 1
∴ The function has three zeroes -3 , -1 , 1
* The zeroes of the function are -3 , -1 , 1
