Question

The graph of a polynomial y = f(x), shown in Fig. 2.18. Find the number of real zeros of f(x).

Answer 1

A real number  a is a zero of polynomial `f(x)` if  `f(a)=0` 

In the above figure the curve intersects x-axis at one point and touches at one point

When a curve touches x-axis at one point, it means it has two common zeros at that point

Hence the number of real zeroes is 3 .