Question

The graph of y = f(x) is given. The number of distinct zeroes of y = f(x) is:

Options

• 0

• 1

• 2

• 3

Answer 1

3

Explanation:

Step 1: Understanding the Concept:

The zeroes of a polynomial function f(x) correspond to the points where the graph intersects the x-axis.

Step 2: Detailed Explanation:

By observing the provided graph, we look for the points where the curve crosses or touches the horizontal axis (x-axis).

The curve intersects the x-axis at:

1. One point on the negative x-axis side. 
2. Two distinct points on the positive x-axis side. 

Counting these intersection points, we get a total of 3 distinct points.

Step 3: Final Answer:

The number of distinct zeroes is 3.