Question

The graph of = () is given below. Find the number of zeroes of ().

Answer 1

Answer:

a) 2

and b) 0

Step-by-step explanation:

the number of zeros are given by the number of times (or the number of points such that) the y=f(x) curve touches or crosses the x-axis. this is because at the points where the curve touches x-axis, the y-value (which is the f(x) value itself) is zero.

a) here the curve touches the x-axis twice, or at 2 points. so it has 2 zeros.

b) since the curve nowhere meets the x-axis so it has no zeros