Which function has the given properties below? The domain is the set of all real numbers.

One x-intercept is (pi/2, 0)

The maximum value is 3.

The y-intercept is (0,-3)

Answer: The function could be y = - 3 cos x

Solution:

One x-intercept is (pi/2,0) : We can use a trigonometric function like cosine that has x-intercept (pi/2,0).

The domain of the cosine function is the set of all real numbers.

The maximum value is 3, then the amplitude must be 3: y = 3 cos x

The y-intercept is (0,-3) then it is the functio y = 3 cos x, reflected around the x-axis: y = - 3 cos x

B on edge