Question

Select the correct answer.
The function Fx) = sin(x) is graphed on the domain (0,2*pie). Which statement is true about its leftmost point, where x =0 ?

A. The point is minimum
B. The point is maximum
C. The point is between an x-intercept and a maximum
D. The point is an x intercept

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.

Answer 2

Answer:

D, This point is an x intercept:)

Step-by-step explanation:

Correct on plato!