Question

Use the graph to state the number of real zeros of the function.

Answer 1

3. The graph crosses the x axis a total of 3 times

Answer 2

The number of real zeros of the given polynomial function is;

3 real zeros

When we graph a polynomial function, it is well known that;

• The point at which the graph crosses the y-axis is called the y-intercept which is the point at which x = 0.

• Secondly, we know that the points at which it crosses the x-axis are called the x-intercepts. These are the points when y = 0. Furthermore, these x-intercepts are called the real roots or real zeros of the polynomial function.

        From the definition of the x and y intercepts of the graph of a polynomial, we can see that our graph crosses the x-axis at 3 points and as such it means these 3 points are the real zeros of the polynomial function.

In conclusion, the number of real zeros of the polynomial function is 3.

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