Question

Select the correct answer.

Answer 1

Answer:

D. The point at x = 0 is x-intercept itself.

Step-by-step explanation:

First, substitute x = 0 in f(x) = sin(x) and examine the point and values.

When x = 0, sin(0) = 0.

Hence, the point is (0,0) which is an origin point. It is both x-intercept and y-intercept at the same time.

The point at x = 0 is neither maximum nor minimum since the range of some function is defined in [-1,1] so the minimum value has to be -1 and the maximum value has to be 1.

Thus, A and B are not correct choices.

The C choice would make sense if the value of f(x) did not become 0 when substituting x = 0 in.

Therefore, the correct choice is D as it is an origin point at x = 0 meaning it is both x-intercept and y-intercept.