At what values of x does the graph of f left-parenthesis x right-parenthesis equals sine x intersect the x-axis?

(1 point)
Responses

all multiples of start fraction pi over 2 end fraction
all multiples of Image with alt text: start fraction pi over 2 end fraction

odd multiples of start fraction pi over 2 end fraction
odd multiples of Image with alt text: start fraction pi over 2 end fraction

all multiples of π
all multiples of π

even multiples of π

1 answer

The graph of \( f(x) = \sin(x) \) intersects the x-axis at the points where \( \sin(x) = 0 \). The sine function is equal to zero at all integer multiples of \( \pi \).

Thus, the correct response is: all multiples of \( \pi \).