Which function has the given properties below? The domain is the set of all real numbers. One x-intercept is (StartFraction pi over 2 EndFraction, 0 EndFraction). The maximum value is 3. The y-intercept is (0, –3).

y = -3cosx

Step-by-step explanation:

Let me rewrite your question:

One x-intercept is ( pi/2 , 0)  so we know that it is a trigonometric function such as cosine that has x-intercept (pi/2,0). The maximum value is 3, it means the amplitude must be 3: y = 3 cos x The y-intercept is (0,-3),  means when x =0, y will equal to negative 3 (-3) then it is the function y = -3cosx,

So y = -3cosx is the function has the given properties